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Finding the Fourth Proportional to 53,892.90, 74,366.52 and 31,239

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Solution

The fourth proportional to 53,892.90, 74,366.52 and 31,239 is: 43,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,892.90 : 74,366.52 = 31,239 : x
  2. Step 2: Convert to fraction form
    53,892.90/74,366.52 = 31,239/x
  3. Step 3: Cross multiply
    53,892.90x = 74,366.52 × 31,239
  4. Step 4: Simplify right side
    53,892.90x = 2,323,135,718.28
  5. Step 5: Solve for x
    x = 2,323,135,718.28/53,892.90
  6. Step 6: Final answer
    x = 43,106.53

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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.