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Finding the Fourth Proportional to 83,699.47, 125,548.51 and 33,778.80

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Solution

The fourth proportional to 83,699.47, 125,548.51 and 33,778.80 is: 50,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,699.47 : 125,548.51 = 33,778.80 : x
  2. Step 2: Convert to fraction form
    83,699.47/125,548.51 = 33,778.80/x
  3. Step 3: Cross multiply
    83,699.47x = 125,548.51 × 33,778.80
  4. Step 4: Simplify right side
    83,699.47x = 4,240,878,009.59
  5. Step 5: Solve for x
    x = 4,240,878,009.59/83,699.47
  6. Step 6: Final answer
    x = 50,667.92

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