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Finding the Fourth Proportional to 34,572.96, 51,857.70 and 9,612.78

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Solution

The fourth proportional to 34,572.96, 51,857.70 and 9,612.78 is: 14,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,572.96 : 51,857.70 = 9,612.78 : x
  2. Step 2: Convert to fraction form
    34,572.96/51,857.70 = 9,612.78/x
  3. Step 3: Cross multiply
    34,572.96x = 51,857.70 × 9,612.78
  4. Step 4: Simplify right side
    34,572.96x = 498,496,661.41
  5. Step 5: Solve for x
    x = 498,496,661.41/34,572.96
  6. Step 6: Final answer
    x = 14,418.69

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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.