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Finding the Fourth Proportional to 73,933.68, 102,016.68 and 42,103.20

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Solution

The fourth proportional to 73,933.68, 102,016.68 and 42,103.20 is: 58,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,933.68 : 102,016.68 = 42,103.20 : x
  2. Step 2: Convert to fraction form
    73,933.68/102,016.68 = 42,103.20/x
  3. Step 3: Cross multiply
    73,933.68x = 102,016.68 × 42,103.20
  4. Step 4: Simplify right side
    73,933.68x = 4,295,228,681.38
  5. Step 5: Solve for x
    x = 4,295,228,681.38/73,933.68
  6. Step 6: Final answer
    x = 58,095.70

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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.