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Finding the Fourth Proportional to 64,206.68, 96,302.70 and 24,760.49

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Solution

The fourth proportional to 64,206.68, 96,302.70 and 24,760.49 is: 37,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.68 : 96,302.70 = 24,760.49 : x
  2. Step 2: Convert to fraction form
    64,206.68/96,302.70 = 24,760.49/x
  3. Step 3: Cross multiply
    64,206.68x = 96,302.70 × 24,760.49
  4. Step 4: Simplify right side
    64,206.68x = 2,384,501,558.81
  5. Step 5: Solve for x
    x = 2,384,501,558.81/64,206.68
  6. Step 6: Final answer
    x = 37,137.91

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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.