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Finding the Fourth Proportional to 75,582.80, 113,374.20 and 52,254.80

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Solution

The fourth proportional to 75,582.80, 113,374.20 and 52,254.80 is: 78,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,582.80 : 113,374.20 = 52,254.80 : x
  2. Step 2: Convert to fraction form
    75,582.80/113,374.20 = 52,254.80/x
  3. Step 3: Cross multiply
    75,582.80x = 113,374.20 × 52,254.80
  4. Step 4: Simplify right side
    75,582.80x = 5,924,346,146.16
  5. Step 5: Solve for x
    x = 5,924,346,146.16/75,582.80
  6. Step 6: Final answer
    x = 78,382.20

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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.