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Finding the Fourth Proportional to 54,685, 75,498.11 and 35,854.93

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Solution

The fourth proportional to 54,685, 75,498.11 and 35,854.93 is: 49,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,685 : 75,498.11 = 35,854.93 : x
  2. Step 2: Convert to fraction form
    54,685/75,498.11 = 35,854.93/x
  3. Step 3: Cross multiply
    54,685x = 75,498.11 × 35,854.93
  4. Step 4: Simplify right side
    54,685x = 2,706,979,269.91
  5. Step 5: Solve for x
    x = 2,706,979,269.91/54,685
  6. Step 6: Final answer
    x = 49,501.31

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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.