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Finding the Fourth Proportional to 41,503.50, 57,275 and 22,641.02

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Solution

The fourth proportional to 41,503.50, 57,275 and 22,641.02 is: 31,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,503.50 : 57,275 = 22,641.02 : x
  2. Step 2: Convert to fraction form
    41,503.50/57,275 = 22,641.02/x
  3. Step 3: Cross multiply
    41,503.50x = 57,275 × 22,641.02
  4. Step 4: Simplify right side
    41,503.50x = 1,296,764,420.50
  5. Step 5: Solve for x
    x = 1,296,764,420.50/41,503.50
  6. Step 6: Final answer
    x = 31,244.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.