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Finding the Fourth Proportional to 32,891.78, 49,345.78 and 9,520.58

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Solution

The fourth proportional to 32,891.78, 49,345.78 and 9,520.58 is: 14,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.78 : 49,345.78 = 9,520.58 : x
  2. Step 2: Convert to fraction form
    32,891.78/49,345.78 = 9,520.58/x
  3. Step 3: Cross multiply
    32,891.78x = 49,345.78 × 9,520.58
  4. Step 4: Simplify right side
    32,891.78x = 469,800,446.15
  5. Step 5: Solve for x
    x = 469,800,446.15/32,891.78
  6. Step 6: Final answer
    x = 14,283.22

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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.