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Finding the Fourth Proportional to 38,641.80, 57,897.90 and 32,032.20

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Solution

The fourth proportional to 38,641.80, 57,897.90 and 32,032.20 is: 47,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,641.80 : 57,897.90 = 32,032.20 : x
  2. Step 2: Convert to fraction form
    38,641.80/57,897.90 = 32,032.20/x
  3. Step 3: Cross multiply
    38,641.80x = 57,897.90 × 32,032.20
  4. Step 4: Simplify right side
    38,641.80x = 1,854,597,112.38
  5. Step 5: Solve for x
    x = 1,854,597,112.38/38,641.80
  6. Step 6: Final answer
    x = 47,994.58

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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.