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Finding the Fourth Proportional to 67,122.60, 100,568.70 and 31,986.60

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Solution

The fourth proportional to 67,122.60, 100,568.70 and 31,986.60 is: 47,925.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,122.60 : 100,568.70 = 31,986.60 : x
  2. Step 2: Convert to fraction form
    67,122.60/100,568.70 = 31,986.60/x
  3. Step 3: Cross multiply
    67,122.60x = 100,568.70 × 31,986.60
  4. Step 4: Simplify right side
    67,122.60x = 3,216,850,779.42
  5. Step 5: Solve for x
    x = 3,216,850,779.42/67,122.60
  6. Step 6: Final answer
    x = 47,925.00

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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.