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Finding the Fourth Proportional to 54,875.68, 82,340.85 and 31,201.40

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Solution

The fourth proportional to 54,875.68, 82,340.85 and 31,201.40 is: 46,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,875.68 : 82,340.85 = 31,201.40 : x
  2. Step 2: Convert to fraction form
    54,875.68/82,340.85 = 31,201.40/x
  3. Step 3: Cross multiply
    54,875.68x = 82,340.85 × 31,201.40
  4. Step 4: Simplify right side
    54,875.68x = 2,569,149,797.19
  5. Step 5: Solve for x
    x = 2,569,149,797.19/54,875.68
  6. Step 6: Final answer
    x = 46,817.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.