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Finding the Fourth Proportional to 51,205.53, 70,616.70 and 35,096.25

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Solution

The fourth proportional to 51,205.53, 70,616.70 and 35,096.25 is: 48,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205.53 : 70,616.70 = 35,096.25 : x
  2. Step 2: Convert to fraction form
    51,205.53/70,616.70 = 35,096.25/x
  3. Step 3: Cross multiply
    51,205.53x = 70,616.70 × 35,096.25
  4. Step 4: Simplify right side
    51,205.53x = 2,478,381,357.38
  5. Step 5: Solve for x
    x = 2,478,381,357.38/51,205.53
  6. Step 6: Final answer
    x = 48,400.66

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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.