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Finding the Fourth Proportional to 73,924.74, 102,017.12 and 42,093.77

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Solution

The fourth proportional to 73,924.74, 102,017.12 and 42,093.77 is: 58,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,924.74 : 102,017.12 = 42,093.77 : x
  2. Step 2: Convert to fraction form
    73,924.74/102,017.12 = 42,093.77/x
  3. Step 3: Cross multiply
    73,924.74x = 102,017.12 × 42,093.77
  4. Step 4: Simplify right side
    73,924.74x = 4,294,284,464.79
  5. Step 5: Solve for x
    x = 4,294,284,464.79/73,924.74
  6. Step 6: Final answer
    x = 58,089.95

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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.