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Finding the Fourth Proportional to 85,281.40, 127,922.10 and 47,956.60

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Solution

The fourth proportional to 85,281.40, 127,922.10 and 47,956.60 is: 71,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,281.40 : 127,922.10 = 47,956.60 : x
  2. Step 2: Convert to fraction form
    85,281.40/127,922.10 = 47,956.60/x
  3. Step 3: Cross multiply
    85,281.40x = 127,922.10 × 47,956.60
  4. Step 4: Simplify right side
    85,281.40x = 6,134,708,980.86
  5. Step 5: Solve for x
    x = 6,134,708,980.86/85,281.40
  6. Step 6: Final answer
    x = 71,934.90

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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.