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Finding the Fourth Proportional to 83,415.32, 115,076.28 and 65,562.22

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Solution

The fourth proportional to 83,415.32, 115,076.28 and 65,562.22 is: 90,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415.32 : 115,076.28 = 65,562.22 : x
  2. Step 2: Convert to fraction form
    83,415.32/115,076.28 = 65,562.22/x
  3. Step 3: Cross multiply
    83,415.32x = 115,076.28 × 65,562.22
  4. Step 4: Simplify right side
    83,415.32x = 7,544,656,386.14
  5. Step 5: Solve for x
    x = 7,544,656,386.14/83,415.32
  6. Step 6: Final answer
    x = 90,446.89

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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.