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Finding the Fourth Proportional to 32,957.78, 49,443.04 and 10,765.20

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Solution

The fourth proportional to 32,957.78, 49,443.04 and 10,765.20 is: 16,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957.78 : 49,443.04 = 10,765.20 : x
  2. Step 2: Convert to fraction form
    32,957.78/49,443.04 = 10,765.20/x
  3. Step 3: Cross multiply
    32,957.78x = 49,443.04 × 10,765.20
  4. Step 4: Simplify right side
    32,957.78x = 532,264,214.21
  5. Step 5: Solve for x
    x = 532,264,214.21/32,957.78
  6. Step 6: Final answer
    x = 16,149.88

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1.5x scale

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.