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Finding the Fourth Proportional to 38,200.97, 57,301.85 and 11,547.18

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Solution

The fourth proportional to 38,200.97, 57,301.85 and 11,547.18 is: 17,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.97 : 57,301.85 = 11,547.18 : x
  2. Step 2: Convert to fraction form
    38,200.97/57,301.85 = 11,547.18/x
  3. Step 3: Cross multiply
    38,200.97x = 57,301.85 × 11,547.18
  4. Step 4: Simplify right side
    38,200.97x = 661,674,776.28
  5. Step 5: Solve for x
    x = 661,674,776.28/38,200.97
  6. Step 6: Final answer
    x = 17,320.89

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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.