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Finding the Fourth Proportional to 31,535.64, 43,522.56 and 23,564.16

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Solution

The fourth proportional to 31,535.64, 43,522.56 and 23,564.16 is: 32,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,535.64 : 43,522.56 = 23,564.16 : x
  2. Step 2: Convert to fraction form
    31,535.64/43,522.56 = 23,564.16/x
  3. Step 3: Cross multiply
    31,535.64x = 43,522.56 × 23,564.16
  4. Step 4: Simplify right side
    31,535.64x = 1,025,572,567.45
  5. Step 5: Solve for x
    x = 1,025,572,567.45/31,535.64
  6. Step 6: Final answer
    x = 32,521.06

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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.