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Finding the Fourth Proportional to 42,295.86, 58,355 and 24,388.44

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Solution

The fourth proportional to 42,295.86, 58,355 and 24,388.44 is: 33,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,295.86 : 58,355 = 24,388.44 : x
  2. Step 2: Convert to fraction form
    42,295.86/58,355 = 24,388.44/x
  3. Step 3: Cross multiply
    42,295.86x = 58,355 × 24,388.44
  4. Step 4: Simplify right side
    42,295.86x = 1,423,187,416.20
  5. Step 5: Solve for x
    x = 1,423,187,416.20/42,295.86
  6. Step 6: Final answer
    x = 33,648.39

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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.