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Finding the Fourth Proportional to 52,146.48, 78,239.32 and 24,080

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Solution

The fourth proportional to 52,146.48, 78,239.32 and 24,080 is: 36,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,146.48 : 78,239.32 = 24,080 : x
  2. Step 2: Convert to fraction form
    52,146.48/78,239.32 = 24,080/x
  3. Step 3: Cross multiply
    52,146.48x = 78,239.32 × 24,080
  4. Step 4: Simplify right side
    52,146.48x = 1,884,002,825.60
  5. Step 5: Solve for x
    x = 1,884,002,825.60/52,146.48
  6. Step 6: Final answer
    x = 36,129.05

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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.