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Finding the Fourth Proportional to 31,881.02, 47,824.08 and 9,696.38

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Solution

The fourth proportional to 31,881.02, 47,824.08 and 9,696.38 is: 14,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.02 : 47,824.08 = 9,696.38 : x
  2. Step 2: Convert to fraction form
    31,881.02/47,824.08 = 9,696.38/x
  3. Step 3: Cross multiply
    31,881.02x = 47,824.08 × 9,696.38
  4. Step 4: Simplify right side
    31,881.02x = 463,720,452.83
  5. Step 5: Solve for x
    x = 463,720,452.83/31,881.02
  6. Step 6: Final answer
    x = 14,545.35

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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.