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Finding the Fourth Proportional to 32,301.76, 44,577.10 and 18,155.50

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Solution

The fourth proportional to 32,301.76, 44,577.10 and 18,155.50 is: 25,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,301.76 : 44,577.10 = 18,155.50 : x
  2. Step 2: Convert to fraction form
    32,301.76/44,577.10 = 18,155.50/x
  3. Step 3: Cross multiply
    32,301.76x = 44,577.10 × 18,155.50
  4. Step 4: Simplify right side
    32,301.76x = 809,319,539.05
  5. Step 5: Solve for x
    x = 809,319,539.05/32,301.76
  6. Step 6: Final answer
    x = 25,054.97

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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.