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Finding the Fourth Proportional to 82,901.97, 114,423.17 and 52,681.39

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Solution

The fourth proportional to 82,901.97, 114,423.17 and 52,681.39 is: 72,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,901.97 : 114,423.17 = 52,681.39 : x
  2. Step 2: Convert to fraction form
    82,901.97/114,423.17 = 52,681.39/x
  3. Step 3: Cross multiply
    82,901.97x = 114,423.17 × 52,681.39
  4. Step 4: Simplify right side
    82,901.97x = 6,027,971,643.81
  5. Step 5: Solve for x
    x = 6,027,971,643.81/82,901.97
  6. Step 6: Final answer
    x = 72,712.04

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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.