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Finding the Fourth Proportional to 42,657.39, 58,869 and 23,794.50

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Solution

The fourth proportional to 42,657.39, 58,869 and 23,794.50 is: 32,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,657.39 : 58,869 = 23,794.50 : x
  2. Step 2: Convert to fraction form
    42,657.39/58,869 = 23,794.50/x
  3. Step 3: Cross multiply
    42,657.39x = 58,869 × 23,794.50
  4. Step 4: Simplify right side
    42,657.39x = 1,400,758,420.50
  5. Step 5: Solve for x
    x = 1,400,758,420.50/42,657.39
  6. Step 6: Final answer
    x = 32,837.42

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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.