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Finding the Fourth Proportional to 102,390.42, 153,584.42 and 32,269.13

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Solution

The fourth proportional to 102,390.42, 153,584.42 and 32,269.13 is: 48,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,390.42 : 153,584.42 = 32,269.13 : x
  2. Step 2: Convert to fraction form
    102,390.42/153,584.42 = 32,269.13/x
  3. Step 3: Cross multiply
    102,390.42x = 153,584.42 × 32,269.13
  4. Step 4: Simplify right side
    102,390.42x = 4,956,034,685.69
  5. Step 5: Solve for x
    x = 4,956,034,685.69/102,390.42
  6. Step 6: Final answer
    x = 48,403.30

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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.