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Finding the Fourth Proportional to 51,803.53, 71,488.76 and 29,142.54

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Solution

The fourth proportional to 51,803.53, 71,488.76 and 29,142.54 is: 40,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803.53 : 71,488.76 = 29,142.54 : x
  2. Step 2: Convert to fraction form
    51,803.53/71,488.76 = 29,142.54/x
  3. Step 3: Cross multiply
    51,803.53x = 71,488.76 × 29,142.54
  4. Step 4: Simplify right side
    51,803.53x = 2,083,363,690.41
  5. Step 5: Solve for x
    x = 2,083,363,690.41/51,803.53
  6. Step 6: Final answer
    x = 40,216.64

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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.