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Finding the Fourth Proportional to 51,887.70, 71,566.50 and 35,760.24

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Solution

The fourth proportional to 51,887.70, 71,566.50 and 35,760.24 is: 49,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,887.70 : 71,566.50 = 35,760.24 : x
  2. Step 2: Convert to fraction form
    51,887.70/71,566.50 = 35,760.24/x
  3. Step 3: Cross multiply
    51,887.70x = 71,566.50 × 35,760.24
  4. Step 4: Simplify right side
    51,887.70x = 2,559,235,215.96
  5. Step 5: Solve for x
    x = 2,559,235,215.96/51,887.70
  6. Step 6: Final answer
    x = 49,322.58

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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.