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Finding the Fourth Proportional to 32,758.70, 49,137.84 and 9,385.20

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Solution

The fourth proportional to 32,758.70, 49,137.84 and 9,385.20 is: 14,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,758.70 : 49,137.84 = 9,385.20 : x
  2. Step 2: Convert to fraction form
    32,758.70/49,137.84 = 9,385.20/x
  3. Step 3: Cross multiply
    32,758.70x = 49,137.84 × 9,385.20
  4. Step 4: Simplify right side
    32,758.70x = 461,168,455.97
  5. Step 5: Solve for x
    x = 461,168,455.97/32,758.70
  6. Step 6: Final answer
    x = 14,077.74

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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.