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Finding the Fourth Proportional to 67,686.50, 93,407.38 and 37,878.50

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Solution

The fourth proportional to 67,686.50, 93,407.38 and 37,878.50 is: 52,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,686.50 : 93,407.38 = 37,878.50 : x
  2. Step 2: Convert to fraction form
    67,686.50/93,407.38 = 37,878.50/x
  3. Step 3: Cross multiply
    67,686.50x = 93,407.38 × 37,878.50
  4. Step 4: Simplify right side
    67,686.50x = 3,538,131,443.33
  5. Step 5: Solve for x
    x = 3,538,131,443.33/67,686.50
  6. Step 6: Final answer
    x = 52,272.34

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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.