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Finding the Fourth Proportional to 31,882.17, 47,824.98 and 9,693.84

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Solution

The fourth proportional to 31,882.17, 47,824.98 and 9,693.84 is: 14,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.17 : 47,824.98 = 9,693.84 : x
  2. Step 2: Convert to fraction form
    31,882.17/47,824.98 = 9,693.84/x
  3. Step 3: Cross multiply
    31,882.17x = 47,824.98 × 9,693.84
  4. Step 4: Simplify right side
    31,882.17x = 463,607,704.12
  5. Step 5: Solve for x
    x = 463,607,704.12/31,882.17
  6. Step 6: Final answer
    x = 14,541.28

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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.