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Finding the Fourth Proportional to 100,529.10, 150,793.65 and 26,657.10

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Solution

The fourth proportional to 100,529.10, 150,793.65 and 26,657.10 is: 39,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,529.10 : 150,793.65 = 26,657.10 : x
  2. Step 2: Convert to fraction form
    100,529.10/150,793.65 = 26,657.10/x
  3. Step 3: Cross multiply
    100,529.10x = 150,793.65 × 26,657.10
  4. Step 4: Simplify right side
    100,529.10x = 4,019,721,407.42
  5. Step 5: Solve for x
    x = 4,019,721,407.42/100,529.10
  6. Step 6: Final answer
    x = 39,985.65

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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.