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Finding the Fourth Proportional to 52,981, 73,113.84 and 29,107.72

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Solution

The fourth proportional to 52,981, 73,113.84 and 29,107.72 is: 40,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,981 : 73,113.84 = 29,107.72 : x
  2. Step 2: Convert to fraction form
    52,981/73,113.84 = 29,107.72/x
  3. Step 3: Cross multiply
    52,981x = 73,113.84 × 29,107.72
  4. Step 4: Simplify right side
    52,981x = 2,128,177,182.84
  5. Step 5: Solve for x
    x = 2,128,177,182.84/52,981
  6. Step 6: Final answer
    x = 40,168.69

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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.