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Finding the Fourth Proportional to 31,761, 43,830.45 and 17,613.87

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Solution

The fourth proportional to 31,761, 43,830.45 and 17,613.87 is: 24,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761 : 43,830.45 = 17,613.87 : x
  2. Step 2: Convert to fraction form
    31,761/43,830.45 = 17,613.87/x
  3. Step 3: Cross multiply
    31,761x = 43,830.45 × 17,613.87
  4. Step 4: Simplify right side
    31,761x = 772,023,848.34
  5. Step 5: Solve for x
    x = 772,023,848.34/31,761
  6. Step 6: Final answer
    x = 24,307.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.