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Finding the Fourth Proportional to 32,843.47, 49,272.12 and 10,655.12

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Solution

The fourth proportional to 32,843.47, 49,272.12 and 10,655.12 is: 15,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.47 : 49,272.12 = 10,655.12 : x
  2. Step 2: Convert to fraction form
    32,843.47/49,272.12 = 10,655.12/x
  3. Step 3: Cross multiply
    32,843.47x = 49,272.12 × 10,655.12
  4. Step 4: Simplify right side
    32,843.47x = 525,000,351.25
  5. Step 5: Solve for x
    x = 525,000,351.25/32,843.47
  6. Step 6: Final answer
    x = 15,984.92

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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.