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Finding the Fourth Proportional to 60,306.88, 83,189.28 and 37,912

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Solution

The fourth proportional to 60,306.88, 83,189.28 and 37,912 is: 52,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,306.88 : 83,189.28 = 37,912 : x
  2. Step 2: Convert to fraction form
    60,306.88/83,189.28 = 37,912/x
  3. Step 3: Cross multiply
    60,306.88x = 83,189.28 × 37,912
  4. Step 4: Simplify right side
    60,306.88x = 3,153,871,983.36
  5. Step 5: Solve for x
    x = 3,153,871,983.36/60,306.88
  6. Step 6: Final answer
    x = 52,297.05

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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.