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Finding the Fourth Proportional to 99,739.52, 149,480.02 and 40,506.38

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Solution

The fourth proportional to 99,739.52, 149,480.02 and 40,506.38 is: 60,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,739.52 : 149,480.02 = 40,506.38 : x
  2. Step 2: Convert to fraction form
    99,739.52/149,480.02 = 40,506.38/x
  3. Step 3: Cross multiply
    99,739.52x = 149,480.02 × 40,506.38
  4. Step 4: Simplify right side
    99,739.52x = 6,054,894,290.00
  5. Step 5: Solve for x
    x = 6,054,894,290.00/99,739.52
  6. Step 6: Final answer
    x = 60,707.07

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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.