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Finding the Fourth Proportional to 76,152.16, 114,239.16 and 23,565.68

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Solution

The fourth proportional to 76,152.16, 114,239.16 and 23,565.68 is: 35,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,152.16 : 114,239.16 = 23,565.68 : x
  2. Step 2: Convert to fraction form
    76,152.16/114,239.16 = 23,565.68/x
  3. Step 3: Cross multiply
    76,152.16x = 114,239.16 × 23,565.68
  4. Step 4: Simplify right side
    76,152.16x = 2,692,123,488.03
  5. Step 5: Solve for x
    x = 2,692,123,488.03/76,152.16
  6. Step 6: Final answer
    x = 35,351.90

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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.