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Finding the Fourth Proportional to 99,732.44, 149,597.48 and 28,656.80

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Solution

The fourth proportional to 99,732.44, 149,597.48 and 28,656.80 is: 42,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,732.44 : 149,597.48 = 28,656.80 : x
  2. Step 2: Convert to fraction form
    99,732.44/149,597.48 = 28,656.80/x
  3. Step 3: Cross multiply
    99,732.44x = 149,597.48 × 28,656.80
  4. Step 4: Simplify right side
    99,732.44x = 4,286,985,064.86
  5. Step 5: Solve for x
    x = 4,286,985,064.86/99,732.44
  6. Step 6: Final answer
    x = 42,984.86

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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.