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Finding the Fourth Proportional to 73,706.46, 101,715.30 and 41,877.12

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Solution

The fourth proportional to 73,706.46, 101,715.30 and 41,877.12 is: 57,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,706.46 : 101,715.30 = 41,877.12 : x
  2. Step 2: Convert to fraction form
    73,706.46/101,715.30 = 41,877.12/x
  3. Step 3: Cross multiply
    73,706.46x = 101,715.30 × 41,877.12
  4. Step 4: Simplify right side
    73,706.46x = 4,259,543,823.94
  5. Step 5: Solve for x
    x = 4,259,543,823.94/73,706.46
  6. Step 6: Final answer
    x = 57,790.64

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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.