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Finding the Fourth Proportional to 75,101.94, 112,616.91 and 28,324.98

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Solution

The fourth proportional to 75,101.94, 112,616.91 and 28,324.98 is: 42,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,101.94 : 112,616.91 = 28,324.98 : x
  2. Step 2: Convert to fraction form
    75,101.94/112,616.91 = 28,324.98/x
  3. Step 3: Cross multiply
    75,101.94x = 112,616.91 × 28,324.98
  4. Step 4: Simplify right side
    75,101.94x = 3,189,871,723.41
  5. Step 5: Solve for x
    x = 3,189,871,723.41/75,101.94
  6. Step 6: Final answer
    x = 42,473.89

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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.