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Finding the Fourth Proportional to 54,841.74, 75,707.91 and 34,708.38

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Solution

The fourth proportional to 54,841.74, 75,707.91 and 34,708.38 is: 47,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,841.74 : 75,707.91 = 34,708.38 : x
  2. Step 2: Convert to fraction form
    54,841.74/75,707.91 = 34,708.38/x
  3. Step 3: Cross multiply
    54,841.74x = 75,707.91 × 34,708.38
  4. Step 4: Simplify right side
    54,841.74x = 2,627,698,909.29
  5. Step 5: Solve for x
    x = 2,627,698,909.29/54,841.74
  6. Step 6: Final answer
    x = 47,914.21

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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.