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Finding the Fourth Proportional to 74,258.40, 111,404.88 and 24,335.40

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Solution

The fourth proportional to 74,258.40, 111,404.88 and 24,335.40 is: 36,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,258.40 : 111,404.88 = 24,335.40 : x
  2. Step 2: Convert to fraction form
    74,258.40/111,404.88 = 24,335.40/x
  3. Step 3: Cross multiply
    74,258.40x = 111,404.88 × 24,335.40
  4. Step 4: Simplify right side
    74,258.40x = 2,711,082,316.75
  5. Step 5: Solve for x
    x = 2,711,082,316.75/74,258.40
  6. Step 6: Final answer
    x = 36,508.76

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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.