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Finding the Fourth Proportional to 99,157.66, 148,704.96 and 32,582.38

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Solution

The fourth proportional to 99,157.66, 148,704.96 and 32,582.38 is: 48,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,157.66 : 148,704.96 = 32,582.38 : x
  2. Step 2: Convert to fraction form
    99,157.66/148,704.96 = 32,582.38/x
  3. Step 3: Cross multiply
    99,157.66x = 148,704.96 × 32,582.38
  4. Step 4: Simplify right side
    99,157.66x = 4,845,161,514.60
  5. Step 5: Solve for x
    x = 4,845,161,514.60/99,157.66
  6. Step 6: Final answer
    x = 48,863.21

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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.