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Finding the Fourth Proportional to 72,761.60, 109,142.40 and 28,419.50

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Solution

The fourth proportional to 72,761.60, 109,142.40 and 28,419.50 is: 42,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,761.60 : 109,142.40 = 28,419.50 : x
  2. Step 2: Convert to fraction form
    72,761.60/109,142.40 = 28,419.50/x
  3. Step 3: Cross multiply
    72,761.60x = 109,142.40 × 28,419.50
  4. Step 4: Simplify right side
    72,761.60x = 3,101,772,436.80
  5. Step 5: Solve for x
    x = 3,101,772,436.80/72,761.60
  6. Step 6: Final answer
    x = 42,629.25

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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.