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Finding the Fourth Proportional to 73,972.38, 102,056.94 and 42,118.77

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Solution

The fourth proportional to 73,972.38, 102,056.94 and 42,118.77 is: 58,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,972.38 : 102,056.94 = 42,118.77 : x
  2. Step 2: Convert to fraction form
    73,972.38/102,056.94 = 42,118.77/x
  3. Step 3: Cross multiply
    73,972.38x = 102,056.94 × 42,118.77
  4. Step 4: Simplify right side
    73,972.38x = 4,298,512,782.76
  5. Step 5: Solve for x
    x = 4,298,512,782.76/73,972.38
  6. Step 6: Final answer
    x = 58,109.70

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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.