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Finding the Fourth Proportional to 38,058.50, 52,503.20 and 24,634.06

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Solution

The fourth proportional to 38,058.50, 52,503.20 and 24,634.06 is: 33,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,058.50 : 52,503.20 = 24,634.06 : x
  2. Step 2: Convert to fraction form
    38,058.50/52,503.20 = 24,634.06/x
  3. Step 3: Cross multiply
    38,058.50x = 52,503.20 × 24,634.06
  4. Step 4: Simplify right side
    38,058.50x = 1,293,366,978.99
  5. Step 5: Solve for x
    x = 1,293,366,978.99/38,058.50
  6. Step 6: Final answer
    x = 33,983.66

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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.