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Finding the Fourth Proportional to 32,046.72, 48,076.92 and 10,981.11

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Solution

The fourth proportional to 32,046.72, 48,076.92 and 10,981.11 is: 16,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.72 : 48,076.92 = 10,981.11 : x
  2. Step 2: Convert to fraction form
    32,046.72/48,076.92 = 10,981.11/x
  3. Step 3: Cross multiply
    32,046.72x = 48,076.92 × 10,981.11
  4. Step 4: Simplify right side
    32,046.72x = 527,937,946.98
  5. Step 5: Solve for x
    x = 527,937,946.98/32,046.72
  6. Step 6: Final answer
    x = 16,474.01

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Why These Related Problems?

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