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Finding the Fourth Proportional to 48,882, 73,359.84 and 35,768.16

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Solution

The fourth proportional to 48,882, 73,359.84 and 35,768.16 is: 53,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882 : 73,359.84 = 35,768.16 : x
  2. Step 2: Convert to fraction form
    48,882/73,359.84 = 35,768.16/x
  3. Step 3: Cross multiply
    48,882x = 73,359.84 × 35,768.16
  4. Step 4: Simplify right side
    48,882x = 2,623,946,494.69
  5. Step 5: Solve for x
    x = 2,623,946,494.69/48,882
  6. Step 6: Final answer
    x = 53,679.20

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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.