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Finding the Fourth Proportional to 34,711.56, 52,066.88 and 8,416.54

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Solution

The fourth proportional to 34,711.56, 52,066.88 and 8,416.54 is: 12,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711.56 : 52,066.88 = 8,416.54 : x
  2. Step 2: Convert to fraction form
    34,711.56/52,066.88 = 8,416.54/x
  3. Step 3: Cross multiply
    34,711.56x = 52,066.88 × 8,416.54
  4. Step 4: Simplify right side
    34,711.56x = 438,222,978.20
  5. Step 5: Solve for x
    x = 438,222,978.20/34,711.56
  6. Step 6: Final answer
    x = 12,624.70

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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.