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Finding the Fourth Proportional to 31,598.32, 43,605.76 and 17,452.16

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Solution

The fourth proportional to 31,598.32, 43,605.76 and 17,452.16 is: 24,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.32 : 43,605.76 = 17,452.16 : x
  2. Step 2: Convert to fraction form
    31,598.32/43,605.76 = 17,452.16/x
  3. Step 3: Cross multiply
    31,598.32x = 43,605.76 × 17,452.16
  4. Step 4: Simplify right side
    31,598.32x = 761,014,700.44
  5. Step 5: Solve for x
    x = 761,014,700.44/31,598.32
  6. Step 6: Final answer
    x = 24,084.02

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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.