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Finding the Fourth Proportional to 34,707.57, 52,061.36 and 8,412.31

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Solution

The fourth proportional to 34,707.57, 52,061.36 and 8,412.31 is: 12,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,707.57 : 52,061.36 = 8,412.31 : x
  2. Step 2: Convert to fraction form
    34,707.57/52,061.36 = 8,412.31/x
  3. Step 3: Cross multiply
    34,707.57x = 52,061.36 × 8,412.31
  4. Step 4: Simplify right side
    34,707.57x = 437,956,387.43
  5. Step 5: Solve for x
    x = 437,956,387.43/34,707.57
  6. Step 6: Final answer
    x = 12,618.47

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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.