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Finding the Fourth Proportional to 99,152.68, 148,752.44 and 32,593

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Solution

The fourth proportional to 99,152.68, 148,752.44 and 32,593 is: 48,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,152.68 : 148,752.44 = 32,593 : x
  2. Step 2: Convert to fraction form
    99,152.68/148,752.44 = 32,593/x
  3. Step 3: Cross multiply
    99,152.68x = 148,752.44 × 32,593
  4. Step 4: Simplify right side
    99,152.68x = 4,848,288,276.92
  5. Step 5: Solve for x
    x = 4,848,288,276.92/99,152.68
  6. Step 6: Final answer
    x = 48,897.20

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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.