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Finding the Fourth Proportional to 31,930.88, 47,902.13 and 13,200.74

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Solution

The fourth proportional to 31,930.88, 47,902.13 and 13,200.74 is: 19,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.88 : 47,902.13 = 13,200.74 : x
  2. Step 2: Convert to fraction form
    31,930.88/47,902.13 = 13,200.74/x
  3. Step 3: Cross multiply
    31,930.88x = 47,902.13 × 13,200.74
  4. Step 4: Simplify right side
    31,930.88x = 632,343,258.06
  5. Step 5: Solve for x
    x = 632,343,258.06/31,930.88
  6. Step 6: Final answer
    x = 19,803.51

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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.