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Finding the Fourth Proportional to 54,856.50, 75,744.75 and 42,089.40

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Solution

The fourth proportional to 54,856.50, 75,744.75 and 42,089.40 is: 58,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,856.50 : 75,744.75 = 42,089.40 : x
  2. Step 2: Convert to fraction form
    54,856.50/75,744.75 = 42,089.40/x
  3. Step 3: Cross multiply
    54,856.50x = 75,744.75 × 42,089.40
  4. Step 4: Simplify right side
    54,856.50x = 3,188,051,080.65
  5. Step 5: Solve for x
    x = 3,188,051,080.65/54,856.50
  6. Step 6: Final answer
    x = 58,116.20

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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.