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Finding the Fourth Proportional to 65,141.60, 97,712.40 and 33,972.80

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Solution

The fourth proportional to 65,141.60, 97,712.40 and 33,972.80 is: 50,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,141.60 : 97,712.40 = 33,972.80 : x
  2. Step 2: Convert to fraction form
    65,141.60/97,712.40 = 33,972.80/x
  3. Step 3: Cross multiply
    65,141.60x = 97,712.40 × 33,972.80
  4. Step 4: Simplify right side
    65,141.60x = 3,319,563,822.72
  5. Step 5: Solve for x
    x = 3,319,563,822.72/65,141.60
  6. Step 6: Final answer
    x = 50,959.20

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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.