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Finding the Fourth Proportional to 31,590.64, 47,386.02 and 8,217.04

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Solution

The fourth proportional to 31,590.64, 47,386.02 and 8,217.04 is: 12,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.64 : 47,386.02 = 8,217.04 : x
  2. Step 2: Convert to fraction form
    31,590.64/47,386.02 = 8,217.04/x
  3. Step 3: Cross multiply
    31,590.64x = 47,386.02 × 8,217.04
  4. Step 4: Simplify right side
    31,590.64x = 389,372,821.78
  5. Step 5: Solve for x
    x = 389,372,821.78/31,590.64
  6. Step 6: Final answer
    x = 12,325.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.