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Finding the Fourth Proportional to 53,694, 74,098.72 and 29,822.90

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Solution

The fourth proportional to 53,694, 74,098.72 and 29,822.90 is: 41,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,694 : 74,098.72 = 29,822.90 : x
  2. Step 2: Convert to fraction form
    53,694/74,098.72 = 29,822.90/x
  3. Step 3: Cross multiply
    53,694x = 74,098.72 × 29,822.90
  4. Step 4: Simplify right side
    53,694x = 2,209,838,716.69
  5. Step 5: Solve for x
    x = 2,209,838,716.69/53,694
  6. Step 6: Final answer
    x = 41,156.16

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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.