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Finding the Fourth Proportional to 70,877.84, 106,316.96 and 48,623.76

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Solution

The fourth proportional to 70,877.84, 106,316.96 and 48,623.76 is: 72,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,877.84 : 106,316.96 = 48,623.76 : x
  2. Step 2: Convert to fraction form
    70,877.84/106,316.96 = 48,623.76/x
  3. Step 3: Cross multiply
    70,877.84x = 106,316.96 × 48,623.76
  4. Step 4: Simplify right side
    70,877.84x = 5,169,530,103.85
  5. Step 5: Solve for x
    x = 5,169,530,103.85/70,877.84
  6. Step 6: Final answer
    x = 72,935.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.