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Finding the Fourth Proportional to 100,535.85, 150,803.68 and 25,656.00

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Solution

The fourth proportional to 100,535.85, 150,803.68 and 25,656.00 is: 38,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,535.85 : 150,803.68 = 25,656.00 : x
  2. Step 2: Convert to fraction form
    100,535.85/150,803.68 = 25,656.00/x
  3. Step 3: Cross multiply
    100,535.85x = 150,803.68 × 25,656.00
  4. Step 4: Simplify right side
    100,535.85x = 3,869,018,331.78
  5. Step 5: Solve for x
    x = 3,869,018,331.78/100,535.85
  6. Step 6: Final answer
    x = 38,483.97

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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.