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Finding the Fourth Proportional to 99,967.92, 149,934.60 and 29,828.40

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Solution

The fourth proportional to 99,967.92, 149,934.60 and 29,828.40 is: 44,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,967.92 : 149,934.60 = 29,828.40 : x
  2. Step 2: Convert to fraction form
    99,967.92/149,934.60 = 29,828.40/x
  3. Step 3: Cross multiply
    99,967.92x = 149,934.60 × 29,828.40
  4. Step 4: Simplify right side
    99,967.92x = 4,472,309,222.64
  5. Step 5: Solve for x
    x = 4,472,309,222.64/99,967.92
  6. Step 6: Final answer
    x = 44,737.44

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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.