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Finding the Fourth Proportional to 98,783.46, 148,169.97 and 27,711.03

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Solution

The fourth proportional to 98,783.46, 148,169.97 and 27,711.03 is: 41,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,783.46 : 148,169.97 = 27,711.03 : x
  2. Step 2: Convert to fraction form
    98,783.46/148,169.97 = 27,711.03/x
  3. Step 3: Cross multiply
    98,783.46x = 148,169.97 × 27,711.03
  4. Step 4: Simplify right side
    98,783.46x = 4,105,942,483.77
  5. Step 5: Solve for x
    x = 4,105,942,483.77/98,783.46
  6. Step 6: Final answer
    x = 41,565.08

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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.