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Finding the Fourth Proportional to 31,681.48, 47,522.08 and 9,494.88

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Solution

The fourth proportional to 31,681.48, 47,522.08 and 9,494.88 is: 14,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.48 : 47,522.08 = 9,494.88 : x
  2. Step 2: Convert to fraction form
    31,681.48/47,522.08 = 9,494.88/x
  3. Step 3: Cross multiply
    31,681.48x = 47,522.08 × 9,494.88
  4. Step 4: Simplify right side
    31,681.48x = 451,216,446.95
  5. Step 5: Solve for x
    x = 451,216,446.95/31,681.48
  6. Step 6: Final answer
    x = 14,242.28

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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.