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Finding the Fourth Proportional to 31,412.32, 43,348.48 and 17,264.88

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Solution

The fourth proportional to 31,412.32, 43,348.48 and 17,264.88 is: 23,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.32 : 43,348.48 = 17,264.88 : x
  2. Step 2: Convert to fraction form
    31,412.32/43,348.48 = 17,264.88/x
  3. Step 3: Cross multiply
    31,412.32x = 43,348.48 × 17,264.88
  4. Step 4: Simplify right side
    31,412.32x = 748,406,305.38
  5. Step 5: Solve for x
    x = 748,406,305.38/31,412.32
  6. Step 6: Final answer
    x = 23,825.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.