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Finding the Fourth Proportional to 54,870, 75,737.88 and 34,998

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Solution

The fourth proportional to 54,870, 75,737.88 and 34,998 is: 48,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,870 : 75,737.88 = 34,998 : x
  2. Step 2: Convert to fraction form
    54,870/75,737.88 = 34,998/x
  3. Step 3: Cross multiply
    54,870x = 75,737.88 × 34,998
  4. Step 4: Simplify right side
    54,870x = 2,650,674,324.24
  5. Step 5: Solve for x
    x = 2,650,674,324.24/54,870
  6. Step 6: Final answer
    x = 48,308.26

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Why These Related Problems?

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