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Finding the Fourth Proportional to 81,575.64, 122,376.42 and 34,828.92

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Solution

The fourth proportional to 81,575.64, 122,376.42 and 34,828.92 is: 52,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,575.64 : 122,376.42 = 34,828.92 : x
  2. Step 2: Convert to fraction form
    81,575.64/122,376.42 = 34,828.92/x
  3. Step 3: Cross multiply
    81,575.64x = 122,376.42 × 34,828.92
  4. Step 4: Simplify right side
    81,575.64x = 4,262,238,542.07
  5. Step 5: Solve for x
    x = 4,262,238,542.07/81,575.64
  6. Step 6: Final answer
    x = 52,248.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.