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Finding the Fourth Proportional to 64,923.94, 97,398.53 and 24,940

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Solution

The fourth proportional to 64,923.94, 97,398.53 and 24,940 is: 37,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,923.94 : 97,398.53 = 24,940 : x
  2. Step 2: Convert to fraction form
    64,923.94/97,398.53 = 24,940/x
  3. Step 3: Cross multiply
    64,923.94x = 97,398.53 × 24,940
  4. Step 4: Simplify right side
    64,923.94x = 2,429,119,338.20
  5. Step 5: Solve for x
    x = 2,429,119,338.20/64,923.94
  6. Step 6: Final answer
    x = 37,414.85

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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.