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Finding the Fourth Proportional to 54,987.83, 75,884.81 and 31,113.99

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Solution

The fourth proportional to 54,987.83, 75,884.81 and 31,113.99 is: 42,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,987.83 : 75,884.81 = 31,113.99 : x
  2. Step 2: Convert to fraction form
    54,987.83/75,884.81 = 31,113.99/x
  3. Step 3: Cross multiply
    54,987.83x = 75,884.81 × 31,113.99
  4. Step 4: Simplify right side
    54,987.83x = 2,361,079,063.92
  5. Step 5: Solve for x
    x = 2,361,079,063.92/54,987.83
  6. Step 6: Final answer
    x = 42,938.21

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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.