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Finding the Fourth Proportional to 32,841.24, 49,262.02 and 9,468.24

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Solution

The fourth proportional to 32,841.24, 49,262.02 and 9,468.24 is: 14,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.24 : 49,262.02 = 9,468.24 : x
  2. Step 2: Convert to fraction form
    32,841.24/49,262.02 = 9,468.24/x
  3. Step 3: Cross multiply
    32,841.24x = 49,262.02 × 9,468.24
  4. Step 4: Simplify right side
    32,841.24x = 466,424,628.24
  5. Step 5: Solve for x
    x = 466,424,628.24/32,841.24
  6. Step 6: Final answer
    x = 14,202.41

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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.