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Finding the Fourth Proportional to 99,069.68, 148,604 and 24,190.24

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Solution

The fourth proportional to 99,069.68, 148,604 and 24,190.24 is: 36,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,069.68 : 148,604 = 24,190.24 : x
  2. Step 2: Convert to fraction form
    99,069.68/148,604 = 24,190.24/x
  3. Step 3: Cross multiply
    99,069.68x = 148,604 × 24,190.24
  4. Step 4: Simplify right side
    99,069.68x = 3,594,766,424.96
  5. Step 5: Solve for x
    x = 3,594,766,424.96/99,069.68
  6. Step 6: Final answer
    x = 36,285.23

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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.