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Finding the Fourth Proportional to 70,895.52, 106,354.04 and 24,137.46

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Solution

The fourth proportional to 70,895.52, 106,354.04 and 24,137.46 is: 36,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,895.52 : 106,354.04 = 24,137.46 : x
  2. Step 2: Convert to fraction form
    70,895.52/106,354.04 = 24,137.46/x
  3. Step 3: Cross multiply
    70,895.52x = 106,354.04 × 24,137.46
  4. Step 4: Simplify right side
    70,895.52x = 2,567,116,265.65
  5. Step 5: Solve for x
    x = 2,567,116,265.65/70,895.52
  6. Step 6: Final answer
    x = 36,209.85

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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.