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Finding the Fourth Proportional to 97,013.43, 145,550.52 and 61,695

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Solution

The fourth proportional to 97,013.43, 145,550.52 and 61,695 is: 92,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,013.43 : 145,550.52 = 61,695 : x
  2. Step 2: Convert to fraction form
    97,013.43/145,550.52 = 61,695/x
  3. Step 3: Cross multiply
    97,013.43x = 145,550.52 × 61,695
  4. Step 4: Simplify right side
    97,013.43x = 8,979,739,331.40
  5. Step 5: Solve for x
    x = 8,979,739,331.40/97,013.43
  6. Step 6: Final answer
    x = 92,561.82

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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.