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Finding the Fourth Proportional to 46,142, 69,224.56 and 13,310

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Solution

The fourth proportional to 46,142, 69,224.56 and 13,310 is: 19,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,142 : 69,224.56 = 13,310 : x
  2. Step 2: Convert to fraction form
    46,142/69,224.56 = 13,310/x
  3. Step 3: Cross multiply
    46,142x = 69,224.56 × 13,310
  4. Step 4: Simplify right side
    46,142x = 921,378,893.60
  5. Step 5: Solve for x
    x = 921,378,893.60/46,142
  6. Step 6: Final answer
    x = 19,968.33

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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.