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Finding the Fourth Proportional to 42,902.40, 64,396.80 and 20,733.60

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Solution

The fourth proportional to 42,902.40, 64,396.80 and 20,733.60 is: 31,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,902.40 : 64,396.80 = 20,733.60 : x
  2. Step 2: Convert to fraction form
    42,902.40/64,396.80 = 20,733.60/x
  3. Step 3: Cross multiply
    42,902.40x = 64,396.80 × 20,733.60
  4. Step 4: Simplify right side
    42,902.40x = 1,335,177,492.48
  5. Step 5: Solve for x
    x = 1,335,177,492.48/42,902.40
  6. Step 6: Final answer
    x = 31,121.28

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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.