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Finding the Fourth Proportional to 73,956.92, 102,109.41 and 56,931.12

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Solution

The fourth proportional to 73,956.92, 102,109.41 and 56,931.12 is: 78,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,956.92 : 102,109.41 = 56,931.12 : x
  2. Step 2: Convert to fraction form
    73,956.92/102,109.41 = 56,931.12/x
  3. Step 3: Cross multiply
    73,956.92x = 102,109.41 × 56,931.12
  4. Step 4: Simplify right side
    73,956.92x = 5,813,203,073.84
  5. Step 5: Solve for x
    x = 5,813,203,073.84/73,956.92
  6. Step 6: Final answer
    x = 78,602.56

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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.