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Finding the Fourth Proportional to 32,101.87, 48,159.37 and 11,039.18

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Solution

The fourth proportional to 32,101.87, 48,159.37 and 11,039.18 is: 16,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.87 : 48,159.37 = 11,039.18 : x
  2. Step 2: Convert to fraction form
    32,101.87/48,159.37 = 11,039.18/x
  3. Step 3: Cross multiply
    32,101.87x = 48,159.37 × 11,039.18
  4. Step 4: Simplify right side
    32,101.87x = 531,639,713.32
  5. Step 5: Solve for x
    x = 531,639,713.32/32,101.87
  6. Step 6: Final answer
    x = 16,561.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.