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Finding the Fourth Proportional to 47,068, 70,631.18 and 27,355.84

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Solution

The fourth proportional to 47,068, 70,631.18 and 27,355.84 is: 41,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,068 : 70,631.18 = 27,355.84 : x
  2. Step 2: Convert to fraction form
    47,068/70,631.18 = 27,355.84/x
  3. Step 3: Cross multiply
    47,068x = 70,631.18 × 27,355.84
  4. Step 4: Simplify right side
    47,068x = 1,932,175,259.09
  5. Step 5: Solve for x
    x = 1,932,175,259.09/47,068
  6. Step 6: Final answer
    x = 41,050.72

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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.