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Finding the Fourth Proportional to 73,154.14, 100,952.10 and 51,381.01

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Solution

The fourth proportional to 73,154.14, 100,952.10 and 51,381.01 is: 70,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,154.14 : 100,952.10 = 51,381.01 : x
  2. Step 2: Convert to fraction form
    73,154.14/100,952.10 = 51,381.01/x
  3. Step 3: Cross multiply
    73,154.14x = 100,952.10 × 51,381.01
  4. Step 4: Simplify right side
    73,154.14x = 5,187,020,557.37
  5. Step 5: Solve for x
    x = 5,187,020,557.37/73,154.14
  6. Step 6: Final answer
    x = 70,905.36

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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.