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Finding the Fourth Proportional to 65,830.46, 98,516.01 and 53,845.70

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Solution

The fourth proportional to 65,830.46, 98,516.01 and 53,845.70 is: 80,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830.46 : 98,516.01 = 53,845.70 : x
  2. Step 2: Convert to fraction form
    65,830.46/98,516.01 = 53,845.70/x
  3. Step 3: Cross multiply
    65,830.46x = 98,516.01 × 53,845.70
  4. Step 4: Simplify right side
    65,830.46x = 5,304,663,519.66
  5. Step 5: Solve for x
    x = 5,304,663,519.66/65,830.46
  6. Step 6: Final answer
    x = 80,580.68

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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.