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Finding the Fourth Proportional to 38,763.95, 53,498.34 and 24,616.80

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Solution

The fourth proportional to 38,763.95, 53,498.34 and 24,616.80 is: 33,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,763.95 : 53,498.34 = 24,616.80 : x
  2. Step 2: Convert to fraction form
    38,763.95/53,498.34 = 24,616.80/x
  3. Step 3: Cross multiply
    38,763.95x = 53,498.34 × 24,616.80
  4. Step 4: Simplify right side
    38,763.95x = 1,316,957,936.11
  5. Step 5: Solve for x
    x = 1,316,957,936.11/38,763.95
  6. Step 6: Final answer
    x = 33,973.79

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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.