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Finding the Fourth Proportional to 99,574.54, 149,390.97 and 29,455.72

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Solution

The fourth proportional to 99,574.54, 149,390.97 and 29,455.72 is: 44,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,574.54 : 149,390.97 = 29,455.72 : x
  2. Step 2: Convert to fraction form
    99,574.54/149,390.97 = 29,455.72/x
  3. Step 3: Cross multiply
    99,574.54x = 149,390.97 × 29,455.72
  4. Step 4: Simplify right side
    99,574.54x = 4,400,418,582.85
  5. Step 5: Solve for x
    x = 4,400,418,582.85/99,574.54
  6. Step 6: Final answer
    x = 44,192.21

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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.