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Finding the Fourth Proportional to 31,967.25, 44,114.40 and 17,820.06

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Solution

The fourth proportional to 31,967.25, 44,114.40 and 17,820.06 is: 24,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.25 : 44,114.40 = 17,820.06 : x
  2. Step 2: Convert to fraction form
    31,967.25/44,114.40 = 17,820.06/x
  3. Step 3: Cross multiply
    31,967.25x = 44,114.40 × 17,820.06
  4. Step 4: Simplify right side
    31,967.25x = 786,121,254.86
  5. Step 5: Solve for x
    x = 786,121,254.86/31,967.25
  6. Step 6: Final answer
    x = 24,591.46

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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.