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Finding the Fourth Proportional to 75,771.60, 113,657.40 and 33,641.78

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Solution

The fourth proportional to 75,771.60, 113,657.40 and 33,641.78 is: 50,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,771.60 : 113,657.40 = 33,641.78 : x
  2. Step 2: Convert to fraction form
    75,771.60/113,657.40 = 33,641.78/x
  3. Step 3: Cross multiply
    75,771.60x = 113,657.40 × 33,641.78
  4. Step 4: Simplify right side
    75,771.60x = 3,823,637,246.17
  5. Step 5: Solve for x
    x = 3,823,637,246.17/75,771.60
  6. Step 6: Final answer
    x = 50,462.67

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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.