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Finding the Fourth Proportional to 54,976.02, 75,866.46 and 31,102.50

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Solution

The fourth proportional to 54,976.02, 75,866.46 and 31,102.50 is: 42,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,976.02 : 75,866.46 = 31,102.50 : x
  2. Step 2: Convert to fraction form
    54,976.02/75,866.46 = 31,102.50/x
  3. Step 3: Cross multiply
    54,976.02x = 75,866.46 × 31,102.50
  4. Step 4: Simplify right side
    54,976.02x = 2,359,636,572.15
  5. Step 5: Solve for x
    x = 2,359,636,572.15/54,976.02
  6. Step 6: Final answer
    x = 42,921.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.