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Finding the Fourth Proportional to 32,015.47, 47,984.31 and 22,658.22

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Solution

The fourth proportional to 32,015.47, 47,984.31 and 22,658.22 is: 33,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.47 : 47,984.31 = 22,658.22 : x
  2. Step 2: Convert to fraction form
    32,015.47/47,984.31 = 22,658.22/x
  3. Step 3: Cross multiply
    32,015.47x = 47,984.31 × 22,658.22
  4. Step 4: Simplify right side
    32,015.47x = 1,087,239,052.53
  5. Step 5: Solve for x
    x = 1,087,239,052.53/32,015.47
  6. Step 6: Final answer
    x = 33,959.81

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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.