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Finding the Fourth Proportional to 69,785.48, 96,300 and 37,954.38

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Solution

The fourth proportional to 69,785.48, 96,300 and 37,954.38 is: 52,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,785.48 : 96,300 = 37,954.38 : x
  2. Step 2: Convert to fraction form
    69,785.48/96,300 = 37,954.38/x
  3. Step 3: Cross multiply
    69,785.48x = 96,300 × 37,954.38
  4. Step 4: Simplify right side
    69,785.48x = 3,655,006,794.00
  5. Step 5: Solve for x
    x = 3,655,006,794.00/69,785.48
  6. Step 6: Final answer
    x = 52,374.89

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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.