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Finding the Fourth Proportional to 42,497.94, 63,746.82 and 20,243.82

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Solution

The fourth proportional to 42,497.94, 63,746.82 and 20,243.82 is: 30,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,497.94 : 63,746.82 = 20,243.82 : x
  2. Step 2: Convert to fraction form
    42,497.94/63,746.82 = 20,243.82/x
  3. Step 3: Cross multiply
    42,497.94x = 63,746.82 × 20,243.82
  4. Step 4: Simplify right side
    42,497.94x = 1,290,479,149.65
  5. Step 5: Solve for x
    x = 1,290,479,149.65/42,497.94
  6. Step 6: Final answer
    x = 30,365.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.