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Finding the Fourth Proportional to 31,066.64, 42,842.16 and 20,880.72

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Solution

The fourth proportional to 31,066.64, 42,842.16 and 20,880.72 is: 28,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.64 : 42,842.16 = 20,880.72 : x
  2. Step 2: Convert to fraction form
    31,066.64/42,842.16 = 20,880.72/x
  3. Step 3: Cross multiply
    31,066.64x = 42,842.16 × 20,880.72
  4. Step 4: Simplify right side
    31,066.64x = 894,575,147.16
  5. Step 5: Solve for x
    x = 894,575,147.16/31,066.64
  6. Step 6: Final answer
    x = 28,795.36

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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.