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Finding the Fourth Proportional to 32,077.17, 44,267.85 and 17,930

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Solution

The fourth proportional to 32,077.17, 44,267.85 and 17,930 is: 24,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.17 : 44,267.85 = 17,930 : x
  2. Step 2: Convert to fraction form
    32,077.17/44,267.85 = 17,930/x
  3. Step 3: Cross multiply
    32,077.17x = 44,267.85 × 17,930
  4. Step 4: Simplify right side
    32,077.17x = 793,722,550.50
  5. Step 5: Solve for x
    x = 793,722,550.50/32,077.17
  6. Step 6: Final answer
    x = 24,744.16

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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.