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Finding the Fourth Proportional to 73,701.65, 110,574.17 and 23,780.81

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Solution

The fourth proportional to 73,701.65, 110,574.17 and 23,780.81 is: 35,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,701.65 : 110,574.17 = 23,780.81 : x
  2. Step 2: Convert to fraction form
    73,701.65/110,574.17 = 23,780.81/x
  3. Step 3: Cross multiply
    73,701.65x = 110,574.17 × 23,780.81
  4. Step 4: Simplify right side
    73,701.65x = 2,629,543,208.77
  5. Step 5: Solve for x
    x = 2,629,543,208.77/73,701.65
  6. Step 6: Final answer
    x = 35,678.21

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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.