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Finding the Fourth Proportional to 32,785.56, 49,167.84 and 10,594.20

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Solution

The fourth proportional to 32,785.56, 49,167.84 and 10,594.20 is: 15,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,785.56 : 49,167.84 = 10,594.20 : x
  2. Step 2: Convert to fraction form
    32,785.56/49,167.84 = 10,594.20/x
  3. Step 3: Cross multiply
    32,785.56x = 49,167.84 × 10,594.20
  4. Step 4: Simplify right side
    32,785.56x = 520,893,930.53
  5. Step 5: Solve for x
    x = 520,893,930.53/32,785.56
  6. Step 6: Final answer
    x = 15,887.91

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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.