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Finding the Fourth Proportional to 83,838.80, 125,758.10 and 21,509.30

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Solution

The fourth proportional to 83,838.80, 125,758.10 and 21,509.30 is: 32,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.80 : 125,758.10 = 21,509.30 : x
  2. Step 2: Convert to fraction form
    83,838.80/125,758.10 = 21,509.30/x
  3. Step 3: Cross multiply
    83,838.80x = 125,758.10 × 21,509.30
  4. Step 4: Simplify right side
    83,838.80x = 2,704,968,700.33
  5. Step 5: Solve for x
    x = 2,704,968,700.33/83,838.80
  6. Step 6: Final answer
    x = 32,263.92

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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.