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Finding the Fourth Proportional to 31,885.16, 47,829.44 and 9,696.84

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Solution

The fourth proportional to 31,885.16, 47,829.44 and 9,696.84 is: 14,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.16 : 47,829.44 = 9,696.84 : x
  2. Step 2: Convert to fraction form
    31,885.16/47,829.44 = 9,696.84/x
  3. Step 3: Cross multiply
    31,885.16x = 47,829.44 × 9,696.84
  4. Step 4: Simplify right side
    31,885.16x = 463,794,426.97
  5. Step 5: Solve for x
    x = 463,794,426.97/31,885.16
  6. Step 6: Final answer
    x = 14,545.78

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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.