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Finding the Fourth Proportional to 69,574.86, 96,013.25 and 37,743.76

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Solution

The fourth proportional to 69,574.86, 96,013.25 and 37,743.76 is: 52,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,574.86 : 96,013.25 = 37,743.76 : x
  2. Step 2: Convert to fraction form
    69,574.86/96,013.25 = 37,743.76/x
  3. Step 3: Cross multiply
    69,574.86x = 96,013.25 × 37,743.76
  4. Step 4: Simplify right side
    69,574.86x = 3,623,901,159.18
  5. Step 5: Solve for x
    x = 3,623,901,159.18/69,574.86
  6. Step 6: Final answer
    x = 52,086.36

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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.