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Finding the Fourth Proportional to 32,003.70, 47,966.67 and 22,646.45

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Solution

The fourth proportional to 32,003.70, 47,966.67 and 22,646.45 is: 33,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.70 : 47,966.67 = 22,646.45 : x
  2. Step 2: Convert to fraction form
    32,003.70/47,966.67 = 22,646.45/x
  3. Step 3: Cross multiply
    32,003.70x = 47,966.67 × 22,646.45
  4. Step 4: Simplify right side
    32,003.70x = 1,086,274,913.74
  5. Step 5: Solve for x
    x = 1,086,274,913.74/32,003.70
  6. Step 6: Final answer
    x = 33,942.17

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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.