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Finding the Fourth Proportional to 32,003.45, 47,966.29 and 22,646.20

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Solution

The fourth proportional to 32,003.45, 47,966.29 and 22,646.20 is: 33,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.45 : 47,966.29 = 22,646.20 : x
  2. Step 2: Convert to fraction form
    32,003.45/47,966.29 = 22,646.20/x
  3. Step 3: Cross multiply
    32,003.45x = 47,966.29 × 22,646.20
  4. Step 4: Simplify right side
    32,003.45x = 1,086,254,196.60
  5. Step 5: Solve for x
    x = 1,086,254,196.60/32,003.45
  6. Step 6: Final answer
    x = 33,941.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.