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Finding the Fourth Proportional to 60,413, 90,331.14 and 55,119.38

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Solution

The fourth proportional to 60,413, 90,331.14 and 55,119.38 is: 82,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,413 : 90,331.14 = 55,119.38 : x
  2. Step 2: Convert to fraction form
    60,413/90,331.14 = 55,119.38/x
  3. Step 3: Cross multiply
    60,413x = 90,331.14 × 55,119.38
  4. Step 4: Simplify right side
    60,413x = 4,978,996,431.49
  5. Step 5: Solve for x
    x = 4,978,996,431.49/60,413
  6. Step 6: Final answer
    x = 82,415.98

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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.