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Finding the Fourth Proportional to 64,898.28, 97,390.86 and 22,778.56

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Solution

The fourth proportional to 64,898.28, 97,390.86 and 22,778.56 is: 34,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,898.28 : 97,390.86 = 22,778.56 : x
  2. Step 2: Convert to fraction form
    64,898.28/97,390.86 = 22,778.56/x
  3. Step 3: Cross multiply
    64,898.28x = 97,390.86 × 22,778.56
  4. Step 4: Simplify right side
    64,898.28x = 2,218,423,491.02
  5. Step 5: Solve for x
    x = 2,218,423,491.02/64,898.28
  6. Step 6: Final answer
    x = 34,183.08

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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.