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Finding the Fourth Proportional to 74,096.40, 111,148.02 and 24,176.40

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Solution

The fourth proportional to 74,096.40, 111,148.02 and 24,176.40 is: 36,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,096.40 : 111,148.02 = 24,176.40 : x
  2. Step 2: Convert to fraction form
    74,096.40/111,148.02 = 24,176.40/x
  3. Step 3: Cross multiply
    74,096.40x = 111,148.02 × 24,176.40
  4. Step 4: Simplify right side
    74,096.40x = 2,687,158,990.73
  5. Step 5: Solve for x
    x = 2,687,158,990.73/74,096.40
  6. Step 6: Final answer
    x = 36,265.72

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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.