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Finding the Fourth Proportional to 54,842.40, 75,676.68 and 40,509.72

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Solution

The fourth proportional to 54,842.40, 75,676.68 and 40,509.72 is: 55,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842.40 : 75,676.68 = 40,509.72 : x
  2. Step 2: Convert to fraction form
    54,842.40/75,676.68 = 40,509.72/x
  3. Step 3: Cross multiply
    54,842.40x = 75,676.68 × 40,509.72
  4. Step 4: Simplify right side
    54,842.40x = 3,065,641,117.33
  5. Step 5: Solve for x
    x = 3,065,641,117.33/54,842.40
  6. Step 6: Final answer
    x = 55,899.11

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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.