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Finding the Fourth Proportional to 72,775.20, 109,167.84 and 28,387.20

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Solution

The fourth proportional to 72,775.20, 109,167.84 and 28,387.20 is: 42,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,775.20 : 109,167.84 = 28,387.20 : x
  2. Step 2: Convert to fraction form
    72,775.20/109,167.84 = 28,387.20/x
  3. Step 3: Cross multiply
    72,775.20x = 109,167.84 × 28,387.20
  4. Step 4: Simplify right side
    72,775.20x = 3,098,969,307.65
  5. Step 5: Solve for x
    x = 3,098,969,307.65/72,775.20
  6. Step 6: Final answer
    x = 42,582.77

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1.5x scale

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.