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Finding the Fourth Proportional to 32,892.50, 49,339.26 and 9,519.02

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Solution

The fourth proportional to 32,892.50, 49,339.26 and 9,519.02 is: 14,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,892.50 : 49,339.26 = 9,519.02 : x
  2. Step 2: Convert to fraction form
    32,892.50/49,339.26 = 9,519.02/x
  3. Step 3: Cross multiply
    32,892.50x = 49,339.26 × 9,519.02
  4. Step 4: Simplify right side
    32,892.50x = 469,661,402.73
  5. Step 5: Solve for x
    x = 469,661,402.73/32,892.50
  6. Step 6: Final answer
    x = 14,278.68

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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.