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Finding the Fourth Proportional to 65,547.76, 90,434.52 and 38,681.20

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Solution

The fourth proportional to 65,547.76, 90,434.52 and 38,681.20 is: 53,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,547.76 : 90,434.52 = 38,681.20 : x
  2. Step 2: Convert to fraction form
    65,547.76/90,434.52 = 38,681.20/x
  3. Step 3: Cross multiply
    65,547.76x = 90,434.52 × 38,681.20
  4. Step 4: Simplify right side
    65,547.76x = 3,498,115,755.02
  5. Step 5: Solve for x
    x = 3,498,115,755.02/65,547.76
  6. Step 6: Final answer
    x = 53,367.43

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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.