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Finding the Fourth Proportional to 38,000.86, 57,007.68 and 11,705.02

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Solution

The fourth proportional to 38,000.86, 57,007.68 and 11,705.02 is: 17,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.86 : 57,007.68 = 11,705.02 : x
  2. Step 2: Convert to fraction form
    38,000.86/57,007.68 = 11,705.02/x
  3. Step 3: Cross multiply
    38,000.86x = 57,007.68 × 11,705.02
  4. Step 4: Simplify right side
    38,000.86x = 667,276,034.55
  5. Step 5: Solve for x
    x = 667,276,034.55/38,000.86
  6. Step 6: Final answer
    x = 17,559.50

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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.