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Finding the Fourth Proportional to 99,491.83, 149,253.95 and 29,378.23

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Solution

The fourth proportional to 99,491.83, 149,253.95 and 29,378.23 is: 44,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,491.83 : 149,253.95 = 29,378.23 : x
  2. Step 2: Convert to fraction form
    99,491.83/149,253.95 = 29,378.23/x
  3. Step 3: Cross multiply
    99,491.83x = 149,253.95 × 29,378.23
  4. Step 4: Simplify right side
    99,491.83x = 4,384,816,724.62
  5. Step 5: Solve for x
    x = 4,384,816,724.62/99,491.83
  6. Step 6: Final answer
    x = 44,072.13

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1.5x scale

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.