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Finding the Fourth Proportional to 31,844.60, 47,779.20 and 9,658.16

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Solution

The fourth proportional to 31,844.60, 47,779.20 and 9,658.16 is: 14,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,844.60 : 47,779.20 = 9,658.16 : x
  2. Step 2: Convert to fraction form
    31,844.60/47,779.20 = 9,658.16/x
  3. Step 3: Cross multiply
    31,844.60x = 47,779.20 × 9,658.16
  4. Step 4: Simplify right side
    31,844.60x = 461,459,158.27
  5. Step 5: Solve for x
    x = 461,459,158.27/31,844.60
  6. Step 6: Final answer
    x = 14,490.97

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1.5x scale

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.