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Finding the Fourth Proportional to 97,284.50, 134,273.50 and 61,451.72

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Solution

The fourth proportional to 97,284.50, 134,273.50 and 61,451.72 is: 84,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,284.50 : 134,273.50 = 61,451.72 : x
  2. Step 2: Convert to fraction form
    97,284.50/134,273.50 = 61,451.72/x
  3. Step 3: Cross multiply
    97,284.50x = 134,273.50 × 61,451.72
  4. Step 4: Simplify right side
    97,284.50x = 8,251,337,525.42
  5. Step 5: Solve for x
    x = 8,251,337,525.42/97,284.50
  6. Step 6: Final answer
    x = 84,816.57

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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.