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Finding the Fourth Proportional to 46,473.80, 64,139.34 and 27,611

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Solution

The fourth proportional to 46,473.80, 64,139.34 and 27,611 is: 38,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,473.80 : 64,139.34 = 27,611 : x
  2. Step 2: Convert to fraction form
    46,473.80/64,139.34 = 27,611/x
  3. Step 3: Cross multiply
    46,473.80x = 64,139.34 × 27,611
  4. Step 4: Simplify right side
    46,473.80x = 1,770,951,316.74
  5. Step 5: Solve for x
    x = 1,770,951,316.74/46,473.80
  6. Step 6: Final answer
    x = 38,106.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.