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Finding the Fourth Proportional to 32,385.60, 44,676 and 21,775.68

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Solution

The fourth proportional to 32,385.60, 44,676 and 21,775.68 is: 30,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,385.60 : 44,676 = 21,775.68 : x
  2. Step 2: Convert to fraction form
    32,385.60/44,676 = 21,775.68/x
  3. Step 3: Cross multiply
    32,385.60x = 44,676 × 21,775.68
  4. Step 4: Simplify right side
    32,385.60x = 972,850,279.68
  5. Step 5: Solve for x
    x = 972,850,279.68/32,385.60
  6. Step 6: Final answer
    x = 30,039.59

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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.