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Finding the Fourth Proportional to 98,581.94, 147,859.02 and 32,022.88

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Solution

The fourth proportional to 98,581.94, 147,859.02 and 32,022.88 is: 48,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,581.94 : 147,859.02 = 32,022.88 : x
  2. Step 2: Convert to fraction form
    98,581.94/147,859.02 = 32,022.88/x
  3. Step 3: Cross multiply
    98,581.94x = 147,859.02 × 32,022.88
  4. Step 4: Simplify right side
    98,581.94x = 4,734,871,284.73
  5. Step 5: Solve for x
    x = 4,734,871,284.73/98,581.94
  6. Step 6: Final answer
    x = 48,029.80

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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.