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Finding the Fourth Proportional to 72,967.65, 109,422.18 and 35,516.81

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Solution

The fourth proportional to 72,967.65, 109,422.18 and 35,516.81 is: 53,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,967.65 : 109,422.18 = 35,516.81 : x
  2. Step 2: Convert to fraction form
    72,967.65/109,422.18 = 35,516.81/x
  3. Step 3: Cross multiply
    72,967.65x = 109,422.18 × 35,516.81
  4. Step 4: Simplify right side
    72,967.65x = 3,886,326,229.73
  5. Step 5: Solve for x
    x = 3,886,326,229.73/72,967.65
  6. Step 6: Final answer
    x = 53,260.95

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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.