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Finding the Fourth Proportional to 32,142.36, 48,218.10 and 9,957.48

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Solution

The fourth proportional to 32,142.36, 48,218.10 and 9,957.48 is: 14,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.36 : 48,218.10 = 9,957.48 : x
  2. Step 2: Convert to fraction form
    32,142.36/48,218.10 = 9,957.48/x
  3. Step 3: Cross multiply
    32,142.36x = 48,218.10 × 9,957.48
  4. Step 4: Simplify right side
    32,142.36x = 480,130,766.39
  5. Step 5: Solve for x
    x = 480,130,766.39/32,142.36
  6. Step 6: Final answer
    x = 14,937.63

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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.