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Finding the Fourth Proportional to 31,057.49, 42,869.01 and 17,637.68

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Solution

The fourth proportional to 31,057.49, 42,869.01 and 17,637.68 is: 24,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.49 : 42,869.01 = 17,637.68 : x
  2. Step 2: Convert to fraction form
    31,057.49/42,869.01 = 17,637.68/x
  3. Step 3: Cross multiply
    31,057.49x = 42,869.01 × 17,637.68
  4. Step 4: Simplify right side
    31,057.49x = 756,110,053.61
  5. Step 5: Solve for x
    x = 756,110,053.61/31,057.49
  6. Step 6: Final answer
    x = 24,345.50

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