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Finding the Fourth Proportional to 42,178.62, 58,208.63 and 24,276.21

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Solution

The fourth proportional to 42,178.62, 58,208.63 and 24,276.21 is: 33,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,178.62 : 58,208.63 = 24,276.21 : x
  2. Step 2: Convert to fraction form
    42,178.62/58,208.63 = 24,276.21/x
  3. Step 3: Cross multiply
    42,178.62x = 58,208.63 × 24,276.21
  4. Step 4: Simplify right side
    42,178.62x = 1,413,084,586.03
  5. Step 5: Solve for x
    x = 1,413,084,586.03/42,178.62
  6. Step 6: Final answer
    x = 33,502.39

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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.