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Finding the Fourth Proportional to 42,336, 58,370.64 and 27,202.08

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Solution

The fourth proportional to 42,336, 58,370.64 and 27,202.08 is: 37,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,336 : 58,370.64 = 27,202.08 : x
  2. Step 2: Convert to fraction form
    42,336/58,370.64 = 27,202.08/x
  3. Step 3: Cross multiply
    42,336x = 58,370.64 × 27,202.08
  4. Step 4: Simplify right side
    42,336x = 1,587,802,818.93
  5. Step 5: Solve for x
    x = 1,587,802,818.93/42,336
  6. Step 6: Final answer
    x = 37,504.79

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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.