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Finding the Fourth Proportional to 71,970.51, 107,968.07 and 24,583.01

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Solution

The fourth proportional to 71,970.51, 107,968.07 and 24,583.01 is: 36,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,970.51 : 107,968.07 = 24,583.01 : x
  2. Step 2: Convert to fraction form
    71,970.51/107,968.07 = 24,583.01/x
  3. Step 3: Cross multiply
    71,970.51x = 107,968.07 × 24,583.01
  4. Step 4: Simplify right side
    71,970.51x = 2,654,179,481.74
  5. Step 5: Solve for x
    x = 2,654,179,481.74/71,970.51
  6. Step 6: Final answer
    x = 36,878.71

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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.