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Finding the Fourth Proportional to 32,938.81, 49,398 and 11,876.13

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Solution

The fourth proportional to 32,938.81, 49,398 and 11,876.13 is: 17,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.81 : 49,398 = 11,876.13 : x
  2. Step 2: Convert to fraction form
    32,938.81/49,398 = 11,876.13/x
  3. Step 3: Cross multiply
    32,938.81x = 49,398 × 11,876.13
  4. Step 4: Simplify right side
    32,938.81x = 586,657,069.74
  5. Step 5: Solve for x
    x = 586,657,069.74/32,938.81
  6. Step 6: Final answer
    x = 17,810.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.