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Finding the Fourth Proportional to 42,657.28, 58,866.89 and 23,794.38

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Solution

The fourth proportional to 42,657.28, 58,866.89 and 23,794.38 is: 32,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,657.28 : 58,866.89 = 23,794.38 : x
  2. Step 2: Convert to fraction form
    42,657.28/58,866.89 = 23,794.38/x
  3. Step 3: Cross multiply
    42,657.28x = 58,866.89 × 23,794.38
  4. Step 4: Simplify right side
    42,657.28x = 1,400,701,150.08
  5. Step 5: Solve for x
    x = 1,400,701,150.08/42,657.28
  6. Step 6: Final answer
    x = 32,836.16

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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.