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Finding the Fourth Proportional to 31,564.80, 43,528.32 and 24,488.64

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Solution

The fourth proportional to 31,564.80, 43,528.32 and 24,488.64 is: 33,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.80 : 43,528.32 = 24,488.64 : x
  2. Step 2: Convert to fraction form
    31,564.80/43,528.32 = 24,488.64/x
  3. Step 3: Cross multiply
    31,564.80x = 43,528.32 × 24,488.64
  4. Step 4: Simplify right side
    31,564.80x = 1,065,949,358.28
  5. Step 5: Solve for x
    x = 1,065,949,358.28/31,564.80
  6. Step 6: Final answer
    x = 33,770.19

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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.