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Finding the Fourth Proportional to 30,834,316.80, 46,203,436.80 and 11,654,611.20

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Solution

The fourth proportional to 30,834,316.80, 46,203,436.80 and 11,654,611.20 is: 17,463,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834,316.80 : 46,203,436.80 = 11,654,611.20 : x
  2. Step 2: Convert to fraction form
    30,834,316.80/46,203,436.80 = 11,654,611.20/x
  3. Step 3: Cross multiply
    30,834,316.80x = 46,203,436.80 × 11,654,611.20
  4. Step 4: Simplify right side
    30,834,316.80x = 538,483,092,007,772.06
  5. Step 5: Solve for x
    x = 538,483,092,007,772.06/30,834,316.80
  6. Step 6: Final answer
    x = 17,463,759.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.