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Finding the Fourth Proportional to 70,114.74, 105,109.55 and 25,731.19

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Solution

The fourth proportional to 70,114.74, 105,109.55 and 25,731.19 is: 38,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,114.74 : 105,109.55 = 25,731.19 : x
  2. Step 2: Convert to fraction form
    70,114.74/105,109.55 = 25,731.19/x
  3. Step 3: Cross multiply
    70,114.74x = 105,109.55 × 25,731.19
  4. Step 4: Simplify right side
    70,114.74x = 2,704,593,801.86
  5. Step 5: Solve for x
    x = 2,704,593,801.86/70,114.74
  6. Step 6: Final answer
    x = 38,573.83

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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.