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Finding the Fourth Proportional to 31,494.42, 43,460.70 and 17,346.96

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Solution

The fourth proportional to 31,494.42, 43,460.70 and 17,346.96 is: 23,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.42 : 43,460.70 = 17,346.96 : x
  2. Step 2: Convert to fraction form
    31,494.42/43,460.70 = 17,346.96/x
  3. Step 3: Cross multiply
    31,494.42x = 43,460.70 × 17,346.96
  4. Step 4: Simplify right side
    31,494.42x = 753,911,024.47
  5. Step 5: Solve for x
    x = 753,911,024.47/31,494.42
  6. Step 6: Final answer
    x = 23,937.92

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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.