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Finding the Fourth Proportional to 64,921.86, 97,324.02 and 25,468.38

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Solution

The fourth proportional to 64,921.86, 97,324.02 and 25,468.38 is: 38,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,921.86 : 97,324.02 = 25,468.38 : x
  2. Step 2: Convert to fraction form
    64,921.86/97,324.02 = 25,468.38/x
  3. Step 3: Cross multiply
    64,921.86x = 97,324.02 × 25,468.38
  4. Step 4: Simplify right side
    64,921.86x = 2,478,685,124.49
  5. Step 5: Solve for x
    x = 2,478,685,124.49/64,921.86
  6. Step 6: Final answer
    x = 38,179.51

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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.