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Finding the Fourth Proportional to 37,776.84, 52,132.95 and 20,781.78

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Solution

The fourth proportional to 37,776.84, 52,132.95 and 20,781.78 is: 28,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,776.84 : 52,132.95 = 20,781.78 : x
  2. Step 2: Convert to fraction form
    37,776.84/52,132.95 = 20,781.78/x
  3. Step 3: Cross multiply
    37,776.84x = 52,132.95 × 20,781.78
  4. Step 4: Simplify right side
    37,776.84x = 1,083,415,497.65
  5. Step 5: Solve for x
    x = 1,083,415,497.65/37,776.84
  6. Step 6: Final answer
    x = 28,679.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.