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Finding the Fourth Proportional to 69,971.51, 96,557.82 and 38,139.71

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Solution

The fourth proportional to 69,971.51, 96,557.82 and 38,139.71 is: 52,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,971.51 : 96,557.82 = 38,139.71 : x
  2. Step 2: Convert to fraction form
    69,971.51/96,557.82 = 38,139.71/x
  3. Step 3: Cross multiply
    69,971.51x = 96,557.82 × 38,139.71
  4. Step 4: Simplify right side
    69,971.51x = 3,682,687,253.03
  5. Step 5: Solve for x
    x = 3,682,687,253.03/69,971.51
  6. Step 6: Final answer
    x = 52,631.24

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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.