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Finding the Fourth Proportional to 64,049.17, 95,945.02 and 31,931.32

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Solution

The fourth proportional to 64,049.17, 95,945.02 and 31,931.32 is: 47,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,049.17 : 95,945.02 = 31,931.32 : x
  2. Step 2: Convert to fraction form
    64,049.17/95,945.02 = 31,931.32/x
  3. Step 3: Cross multiply
    64,049.17x = 95,945.02 × 31,931.32
  4. Step 4: Simplify right side
    64,049.17x = 3,063,651,136.03
  5. Step 5: Solve for x
    x = 3,063,651,136.03/64,049.17
  6. Step 6: Final answer
    x = 47,832.80

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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.