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Finding the Fourth Proportional to 54,969.87, 75,905.76 and 34,585.92

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Solution

The fourth proportional to 54,969.87, 75,905.76 and 34,585.92 is: 47,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,969.87 : 75,905.76 = 34,585.92 : x
  2. Step 2: Convert to fraction form
    54,969.87/75,905.76 = 34,585.92/x
  3. Step 3: Cross multiply
    54,969.87x = 75,905.76 × 34,585.92
  4. Step 4: Simplify right side
    54,969.87x = 2,625,270,798.28
  5. Step 5: Solve for x
    x = 2,625,270,798.28/54,969.87
  6. Step 6: Final answer
    x = 47,758.36

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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.