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Finding the Fourth Proportional to 32,295.78, 48,161.04 and 32,000.52

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Solution

The fourth proportional to 32,295.78, 48,161.04 and 32,000.52 is: 47,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.78 : 48,161.04 = 32,000.52 : x
  2. Step 2: Convert to fraction form
    32,295.78/48,161.04 = 32,000.52/x
  3. Step 3: Cross multiply
    32,295.78x = 48,161.04 × 32,000.52
  4. Step 4: Simplify right side
    32,295.78x = 1,541,178,323.74
  5. Step 5: Solve for x
    x = 1,541,178,323.74/32,295.78
  6. Step 6: Final answer
    x = 47,720.73

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Why These Related Problems?

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