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Finding the Fourth Proportional to 72,288.45, 99,760.14 and 40,458.42

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Solution

The fourth proportional to 72,288.45, 99,760.14 and 40,458.42 is: 55,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,288.45 : 99,760.14 = 40,458.42 : x
  2. Step 2: Convert to fraction form
    72,288.45/99,760.14 = 40,458.42/x
  3. Step 3: Cross multiply
    72,288.45x = 99,760.14 × 40,458.42
  4. Step 4: Simplify right side
    72,288.45x = 4,036,137,643.38
  5. Step 5: Solve for x
    x = 4,036,137,643.38/72,288.45
  6. Step 6: Final answer
    x = 55,833.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.