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Finding the Fourth Proportional to 31,808.40, 47,712.60 and 22,428.60

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Solution

The fourth proportional to 31,808.40, 47,712.60 and 22,428.60 is: 33,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.40 : 47,712.60 = 22,428.60 : x
  2. Step 2: Convert to fraction form
    31,808.40/47,712.60 = 22,428.60/x
  3. Step 3: Cross multiply
    31,808.40x = 47,712.60 × 22,428.60
  4. Step 4: Simplify right side
    31,808.40x = 1,070,126,820.36
  5. Step 5: Solve for x
    x = 1,070,126,820.36/31,808.40
  6. Step 6: Final answer
    x = 33,642.90

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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.