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Finding the Fourth Proportional to 32,642.85, 48,960.94 and 10,472.14

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Solution

The fourth proportional to 32,642.85, 48,960.94 and 10,472.14 is: 15,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.85 : 48,960.94 = 10,472.14 : x
  2. Step 2: Convert to fraction form
    32,642.85/48,960.94 = 10,472.14/x
  3. Step 3: Cross multiply
    32,642.85x = 48,960.94 × 10,472.14
  4. Step 4: Simplify right side
    32,642.85x = 512,725,818.21
  5. Step 5: Solve for x
    x = 512,725,818.21/32,642.85
  6. Step 6: Final answer
    x = 15,707.14

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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.