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Finding the Fourth Proportional to 72,857.91, 109,281.84 and 44,782.29

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Solution

The fourth proportional to 72,857.91, 109,281.84 and 44,782.29 is: 67,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,857.91 : 109,281.84 = 44,782.29 : x
  2. Step 2: Convert to fraction form
    72,857.91/109,281.84 = 44,782.29/x
  3. Step 3: Cross multiply
    72,857.91x = 109,281.84 × 44,782.29
  4. Step 4: Simplify right side
    72,857.91x = 4,893,891,050.61
  5. Step 5: Solve for x
    x = 4,893,891,050.61/72,857.91
  6. Step 6: Final answer
    x = 67,170.35

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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.