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Finding the Fourth Proportional to 24,102, 36,138.60 and 10,045.08

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Solution

The fourth proportional to 24,102, 36,138.60 and 10,045.08 is: 15,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102 : 36,138.60 = 10,045.08 : x
  2. Step 2: Convert to fraction form
    24,102/36,138.60 = 10,045.08/x
  3. Step 3: Cross multiply
    24,102x = 36,138.60 × 10,045.08
  4. Step 4: Simplify right side
    24,102x = 363,015,128.09
  5. Step 5: Solve for x
    x = 363,015,128.09/24,102
  6. Step 6: Final answer
    x = 15,061.62

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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.