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Finding the Fourth Proportional to 51,758.96, 71,415.96 and 32,923.76

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Solution

The fourth proportional to 51,758.96, 71,415.96 and 32,923.76 is: 45,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,758.96 : 71,415.96 = 32,923.76 : x
  2. Step 2: Convert to fraction form
    51,758.96/71,415.96 = 32,923.76/x
  3. Step 3: Cross multiply
    51,758.96x = 71,415.96 × 32,923.76
  4. Step 4: Simplify right side
    51,758.96x = 2,351,281,927.21
  5. Step 5: Solve for x
    x = 2,351,281,927.21/51,758.96
  6. Step 6: Final answer
    x = 45,427.53

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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.