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Finding the Fourth Proportional to 51,178.56, 70,626.56 and 29,672.48

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Solution

The fourth proportional to 51,178.56, 70,626.56 and 29,672.48 is: 40,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,178.56 : 70,626.56 = 29,672.48 : x
  2. Step 2: Convert to fraction form
    51,178.56/70,626.56 = 29,672.48/x
  3. Step 3: Cross multiply
    51,178.56x = 70,626.56 × 29,672.48
  4. Step 4: Simplify right side
    51,178.56x = 2,095,664,687.57
  5. Step 5: Solve for x
    x = 2,095,664,687.57/51,178.56
  6. Step 6: Final answer
    x = 40,948.10

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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.