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Finding the Fourth Proportional to 57,293.68, 85,905.96 and 25,698

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Solution

The fourth proportional to 57,293.68, 85,905.96 and 25,698 is: 38,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,293.68 : 85,905.96 = 25,698 : x
  2. Step 2: Convert to fraction form
    57,293.68/85,905.96 = 25,698/x
  3. Step 3: Cross multiply
    57,293.68x = 85,905.96 × 25,698
  4. Step 4: Simplify right side
    57,293.68x = 2,207,611,360.08
  5. Step 5: Solve for x
    x = 2,207,611,360.08/57,293.68
  6. Step 6: Final answer
    x = 38,531.50

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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.