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Finding the Fourth Proportional to 32,142.48, 47,994.96 and 28,362.78

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Solution

The fourth proportional to 32,142.48, 47,994.96 and 28,362.78 is: 42,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.48 : 47,994.96 = 28,362.78 : x
  2. Step 2: Convert to fraction form
    32,142.48/47,994.96 = 28,362.78/x
  3. Step 3: Cross multiply
    32,142.48x = 47,994.96 × 28,362.78
  4. Step 4: Simplify right side
    32,142.48x = 1,361,270,491.59
  5. Step 5: Solve for x
    x = 1,361,270,491.59/32,142.48
  6. Step 6: Final answer
    x = 42,351.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.