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Finding the Fourth Proportional to 67,242.63, 100,854 and 25,117.44

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Solution

The fourth proportional to 67,242.63, 100,854 and 25,117.44 is: 37,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,242.63 : 100,854 = 25,117.44 : x
  2. Step 2: Convert to fraction form
    67,242.63/100,854 = 25,117.44/x
  3. Step 3: Cross multiply
    67,242.63x = 100,854 × 25,117.44
  4. Step 4: Simplify right side
    67,242.63x = 2,533,194,293.76
  5. Step 5: Solve for x
    x = 2,533,194,293.76/67,242.63
  6. Step 6: Final answer
    x = 37,672.45

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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.