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Finding the Fourth Proportional to 82,058.91, 123,039.15 and 37,630

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Solution

The fourth proportional to 82,058.91, 123,039.15 and 37,630 is: 56,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,058.91 : 123,039.15 = 37,630 : x
  2. Step 2: Convert to fraction form
    82,058.91/123,039.15 = 37,630/x
  3. Step 3: Cross multiply
    82,058.91x = 123,039.15 × 37,630
  4. Step 4: Simplify right side
    82,058.91x = 4,629,963,214.50
  5. Step 5: Solve for x
    x = 4,629,963,214.50/82,058.91
  6. Step 6: Final answer
    x = 56,422.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.