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Finding the Fourth Proportional to 34,125.71, 51,188.68 and 10,433.16

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Solution

The fourth proportional to 34,125.71, 51,188.68 and 10,433.16 is: 15,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,125.71 : 51,188.68 = 10,433.16 : x
  2. Step 2: Convert to fraction form
    34,125.71/51,188.68 = 10,433.16/x
  3. Step 3: Cross multiply
    34,125.71x = 51,188.68 × 10,433.16
  4. Step 4: Simplify right side
    34,125.71x = 534,059,688.63
  5. Step 5: Solve for x
    x = 534,059,688.63/34,125.71
  6. Step 6: Final answer
    x = 15,649.78

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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.