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Finding the Fourth Proportional to 73,846.62, 101,905.02 and 42,018.48

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Solution

The fourth proportional to 73,846.62, 101,905.02 and 42,018.48 is: 57,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,846.62 : 101,905.02 = 42,018.48 : x
  2. Step 2: Convert to fraction form
    73,846.62/101,905.02 = 42,018.48/x
  3. Step 3: Cross multiply
    73,846.62x = 101,905.02 × 42,018.48
  4. Step 4: Simplify right side
    73,846.62x = 4,281,894,044.77
  5. Step 5: Solve for x
    x = 4,281,894,044.77/73,846.62
  6. Step 6: Final answer
    x = 57,983.62

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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.