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Finding the Fourth Proportional to 41,669, 57,503.22 and 22,806.14

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Solution

The fourth proportional to 41,669, 57,503.22 and 22,806.14 is: 31,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,669 : 57,503.22 = 22,806.14 : x
  2. Step 2: Convert to fraction form
    41,669/57,503.22 = 22,806.14/x
  3. Step 3: Cross multiply
    41,669x = 57,503.22 × 22,806.14
  4. Step 4: Simplify right side
    41,669x = 1,311,426,485.77
  5. Step 5: Solve for x
    x = 1,311,426,485.77/41,669
  6. Step 6: Final answer
    x = 31,472.47

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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.