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Finding the Fourth Proportional to 65,052.05, 97,310.77 and 51,930.05

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Solution

The fourth proportional to 65,052.05, 97,310.77 and 51,930.05 is: 77,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,052.05 : 97,310.77 = 51,930.05 : x
  2. Step 2: Convert to fraction form
    65,052.05/97,310.77 = 51,930.05/x
  3. Step 3: Cross multiply
    65,052.05x = 97,310.77 × 51,930.05
  4. Step 4: Simplify right side
    65,052.05x = 5,053,352,535.26
  5. Step 5: Solve for x
    x = 5,053,352,535.26/65,052.05
  6. Step 6: Final answer
    x = 77,681.69

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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.