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Finding the Fourth Proportional to 34,088.77, 51,156.53 and 11,902.15

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Solution

The fourth proportional to 34,088.77, 51,156.53 and 11,902.15 is: 17,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,088.77 : 51,156.53 = 11,902.15 : x
  2. Step 2: Convert to fraction form
    34,088.77/51,156.53 = 11,902.15/x
  3. Step 3: Cross multiply
    34,088.77x = 51,156.53 × 11,902.15
  4. Step 4: Simplify right side
    34,088.77x = 608,872,693.54
  5. Step 5: Solve for x
    x = 608,872,693.54/34,088.77
  6. Step 6: Final answer
    x = 17,861.39

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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.