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Finding the Fourth Proportional to 52,254.84, 78,324.18 and 25,978.68

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Solution

The fourth proportional to 52,254.84, 78,324.18 and 25,978.68 is: 38,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,254.84 : 78,324.18 = 25,978.68 : x
  2. Step 2: Convert to fraction form
    52,254.84/78,324.18 = 25,978.68/x
  3. Step 3: Cross multiply
    52,254.84x = 78,324.18 × 25,978.68
  4. Step 4: Simplify right side
    52,254.84x = 2,034,758,808.48
  5. Step 5: Solve for x
    x = 2,034,758,808.48/52,254.84
  6. Step 6: Final answer
    x = 38,939.15

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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.