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Finding the Fourth Proportional to 82,463.42, 113,799.74 and 44,737.67

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Solution

The fourth proportional to 82,463.42, 113,799.74 and 44,737.67 is: 61,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,463.42 : 113,799.74 = 44,737.67 : x
  2. Step 2: Convert to fraction form
    82,463.42/113,799.74 = 44,737.67/x
  3. Step 3: Cross multiply
    82,463.42x = 113,799.74 × 44,737.67
  4. Step 4: Simplify right side
    82,463.42x = 5,091,134,706.02
  5. Step 5: Solve for x
    x = 5,091,134,706.02/82,463.42
  6. Step 6: Final answer
    x = 61,738.10

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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.