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Finding the Fourth Proportional to 52,388.98, 72,301.84 and 32,257.64

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Solution

The fourth proportional to 52,388.98, 72,301.84 and 32,257.64 is: 44,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,388.98 : 72,301.84 = 32,257.64 : x
  2. Step 2: Convert to fraction form
    52,388.98/72,301.84 = 32,257.64/x
  3. Step 3: Cross multiply
    52,388.98x = 72,301.84 × 32,257.64
  4. Step 4: Simplify right side
    52,388.98x = 2,332,286,826.17
  5. Step 5: Solve for x
    x = 2,332,286,826.17/52,388.98
  6. Step 6: Final answer
    x = 44,518.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.