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Finding the Fourth Proportional to 32,045.82, 47,948.31 and 22,204.32

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Solution

The fourth proportional to 32,045.82, 47,948.31 and 22,204.32 is: 33,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,045.82 : 47,948.31 = 22,204.32 : x
  2. Step 2: Convert to fraction form
    32,045.82/47,948.31 = 22,204.32/x
  3. Step 3: Cross multiply
    32,045.82x = 47,948.31 × 22,204.32
  4. Step 4: Simplify right side
    32,045.82x = 1,064,659,618.70
  5. Step 5: Solve for x
    x = 1,064,659,618.70/32,045.82
  6. Step 6: Final answer
    x = 33,223.04

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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.