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Finding the Fourth Proportional to 68,778.10, 103,196.84 and 37,210.39

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Solution

The fourth proportional to 68,778.10, 103,196.84 and 37,210.39 is: 55,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,778.10 : 103,196.84 = 37,210.39 : x
  2. Step 2: Convert to fraction form
    68,778.10/103,196.84 = 37,210.39/x
  3. Step 3: Cross multiply
    68,778.10x = 103,196.84 × 37,210.39
  4. Step 4: Simplify right side
    68,778.10x = 3,839,994,663.17
  5. Step 5: Solve for x
    x = 3,839,994,663.17/68,778.10
  6. Step 6: Final answer
    x = 55,831.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.