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Finding the Fourth Proportional to 75,904.50, 113,856.75 and 20,500.50

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Solution

The fourth proportional to 75,904.50, 113,856.75 and 20,500.50 is: 30,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,904.50 : 113,856.75 = 20,500.50 : x
  2. Step 2: Convert to fraction form
    75,904.50/113,856.75 = 20,500.50/x
  3. Step 3: Cross multiply
    75,904.50x = 113,856.75 × 20,500.50
  4. Step 4: Simplify right side
    75,904.50x = 2,334,120,303.38
  5. Step 5: Solve for x
    x = 2,334,120,303.38/75,904.50
  6. Step 6: Final answer
    x = 30,750.75

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1.5x scale

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.