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Finding the Fourth Proportional to 31,412.64, 43,348.40 and 17,985.20

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Solution

The fourth proportional to 31,412.64, 43,348.40 and 17,985.20 is: 24,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.64 : 43,348.40 = 17,985.20 : x
  2. Step 2: Convert to fraction form
    31,412.64/43,348.40 = 17,985.20/x
  3. Step 3: Cross multiply
    31,412.64x = 43,348.40 × 17,985.20
  4. Step 4: Simplify right side
    31,412.64x = 779,629,643.68
  5. Step 5: Solve for x
    x = 779,629,643.68/31,412.64
  6. Step 6: Final answer
    x = 24,818.98

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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.