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Finding the Fourth Proportional to 32,878.16, 49,323.43 and 10,697.88

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Solution

The fourth proportional to 32,878.16, 49,323.43 and 10,697.88 is: 16,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,878.16 : 49,323.43 = 10,697.88 : x
  2. Step 2: Convert to fraction form
    32,878.16/49,323.43 = 10,697.88/x
  3. Step 3: Cross multiply
    32,878.16x = 49,323.43 × 10,697.88
  4. Step 4: Simplify right side
    32,878.16x = 527,656,135.33
  5. Step 5: Solve for x
    x = 527,656,135.33/32,878.16
  6. Step 6: Final answer
    x = 16,048.83

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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.