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Finding the Fourth Proportional to 32,039.42, 48,069.41 and 15,400.66

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Solution

The fourth proportional to 32,039.42, 48,069.41 and 15,400.66 is: 23,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.42 : 48,069.41 = 15,400.66 : x
  2. Step 2: Convert to fraction form
    32,039.42/48,069.41 = 15,400.66/x
  3. Step 3: Cross multiply
    32,039.42x = 48,069.41 × 15,400.66
  4. Step 4: Simplify right side
    32,039.42x = 740,300,639.81
  5. Step 5: Solve for x
    x = 740,300,639.81/32,039.42
  6. Step 6: Final answer
    x = 23,105.93

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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.