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Finding the Fourth Proportional to 64,338.86, 96,452.76 and 31,082.24

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Solution

The fourth proportional to 64,338.86, 96,452.76 and 31,082.24 is: 46,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,338.86 : 96,452.76 = 31,082.24 : x
  2. Step 2: Convert to fraction form
    64,338.86/96,452.76 = 31,082.24/x
  3. Step 3: Cross multiply
    64,338.86x = 96,452.76 × 31,082.24
  4. Step 4: Simplify right side
    64,338.86x = 2,997,967,834.98
  5. Step 5: Solve for x
    x = 2,997,967,834.98/64,338.86
  6. Step 6: Final answer
    x = 46,596.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.