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Finding the Fourth Proportional to 76,512.80, 105,585.54 and 42,520.42

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Solution

The fourth proportional to 76,512.80, 105,585.54 and 42,520.42 is: 58,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512.80 : 105,585.54 = 42,520.42 : x
  2. Step 2: Convert to fraction form
    76,512.80/105,585.54 = 42,520.42/x
  3. Step 3: Cross multiply
    76,512.80x = 105,585.54 × 42,520.42
  4. Step 4: Simplify right side
    76,512.80x = 4,489,541,506.73
  5. Step 5: Solve for x
    x = 4,489,541,506.73/76,512.80
  6. Step 6: Final answer
    x = 58,677.00

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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.