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Finding the Fourth Proportional to 69,713.83, 96,206.51 and 37,884.78

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Solution

The fourth proportional to 69,713.83, 96,206.51 and 37,884.78 is: 52,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,713.83 : 96,206.51 = 37,884.78 : x
  2. Step 2: Convert to fraction form
    69,713.83/96,206.51 = 37,884.78/x
  3. Step 3: Cross multiply
    69,713.83x = 96,206.51 × 37,884.78
  4. Step 4: Simplify right side
    69,713.83x = 3,644,762,741.02
  5. Step 5: Solve for x
    x = 3,644,762,741.02/69,713.83
  6. Step 6: Final answer
    x = 52,281.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.