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Finding the Fourth Proportional to 52,147.48, 78,240.82 and 24,081

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Solution

The fourth proportional to 52,147.48, 78,240.82 and 24,081 is: 36,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,147.48 : 78,240.82 = 24,081 : x
  2. Step 2: Convert to fraction form
    52,147.48/78,240.82 = 24,081/x
  3. Step 3: Cross multiply
    52,147.48x = 78,240.82 × 24,081
  4. Step 4: Simplify right side
    52,147.48x = 1,884,117,186.42
  5. Step 5: Solve for x
    x = 1,884,117,186.42/52,147.48
  6. Step 6: Final answer
    x = 36,130.55

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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.