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Finding the Fourth Proportional to 31,610.64, 43,622.16 and 17,463.12

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Solution

The fourth proportional to 31,610.64, 43,622.16 and 17,463.12 is: 24,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.64 : 43,622.16 = 17,463.12 : x
  2. Step 2: Convert to fraction form
    31,610.64/43,622.16 = 17,463.12/x
  3. Step 3: Cross multiply
    31,610.64x = 43,622.16 × 17,463.12
  4. Step 4: Simplify right side
    31,610.64x = 761,779,014.74
  5. Step 5: Solve for x
    x = 761,779,014.74/31,610.64
  6. Step 6: Final answer
    x = 24,098.82

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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.