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Finding the Fourth Proportional to 32,416.07, 44,734.14 and 17,512.07

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Solution

The fourth proportional to 32,416.07, 44,734.14 and 17,512.07 is: 24,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416.07 : 44,734.14 = 17,512.07 : x
  2. Step 2: Convert to fraction form
    32,416.07/44,734.14 = 17,512.07/x
  3. Step 3: Cross multiply
    32,416.07x = 44,734.14 × 17,512.07
  4. Step 4: Simplify right side
    32,416.07x = 783,387,167.40
  5. Step 5: Solve for x
    x = 783,387,167.40/32,416.07
  6. Step 6: Final answer
    x = 24,166.63

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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.