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Finding the Fourth Proportional to 65,244.78, 97,744.42 and 51,162.06

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Solution

The fourth proportional to 65,244.78, 97,744.42 and 51,162.06 is: 76,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,244.78 : 97,744.42 = 51,162.06 : x
  2. Step 2: Convert to fraction form
    65,244.78/97,744.42 = 51,162.06/x
  3. Step 3: Cross multiply
    65,244.78x = 97,744.42 × 51,162.06
  4. Step 4: Simplify right side
    65,244.78x = 5,000,805,880.71
  5. Step 5: Solve for x
    x = 5,000,805,880.71/65,244.78
  6. Step 6: Final answer
    x = 76,646.83

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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.