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Finding the Fourth Proportional to 84,042.30, 125,890.65 and 57,776.70

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Solution

The fourth proportional to 84,042.30, 125,890.65 and 57,776.70 is: 86,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,042.30 : 125,890.65 = 57,776.70 : x
  2. Step 2: Convert to fraction form
    84,042.30/125,890.65 = 57,776.70/x
  3. Step 3: Cross multiply
    84,042.30x = 125,890.65 × 57,776.70
  4. Step 4: Simplify right side
    84,042.30x = 7,273,546,317.86
  5. Step 5: Solve for x
    x = 7,273,546,317.86/84,042.30
  6. Step 6: Final answer
    x = 86,546.25

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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.