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Finding the Fourth Proportional to 82,156.47, 113,416.77 and 51,972.22

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Solution

The fourth proportional to 82,156.47, 113,416.77 and 51,972.22 is: 71,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156.47 : 113,416.77 = 51,972.22 : x
  2. Step 2: Convert to fraction form
    82,156.47/113,416.77 = 51,972.22/x
  3. Step 3: Cross multiply
    82,156.47x = 113,416.77 × 51,972.22
  4. Step 4: Simplify right side
    82,156.47x = 5,894,521,322.13
  5. Step 5: Solve for x
    x = 5,894,521,322.13/82,156.47
  6. Step 6: Final answer
    x = 71,747.50

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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.