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Finding the Fourth Proportional to 42,203.24, 58,246 and 24,299

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Solution

The fourth proportional to 42,203.24, 58,246 and 24,299 is: 33,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,203.24 : 58,246 = 24,299 : x
  2. Step 2: Convert to fraction form
    42,203.24/58,246 = 24,299/x
  3. Step 3: Cross multiply
    42,203.24x = 58,246 × 24,299
  4. Step 4: Simplify right side
    42,203.24x = 1,415,319,554
  5. Step 5: Solve for x
    x = 1,415,319,554/42,203.24
  6. Step 6: Final answer
    x = 33,535.80

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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.