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Finding the Fourth Proportional to 73,384, 101,271.18 and 39,850

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Solution

The fourth proportional to 73,384, 101,271.18 and 39,850 is: 54,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,384 : 101,271.18 = 39,850 : x
  2. Step 2: Convert to fraction form
    73,384/101,271.18 = 39,850/x
  3. Step 3: Cross multiply
    73,384x = 101,271.18 × 39,850
  4. Step 4: Simplify right side
    73,384x = 4,035,656,523.00
  5. Step 5: Solve for x
    x = 4,035,656,523.00/73,384
  6. Step 6: Final answer
    x = 54,993.68

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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.