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Finding the Fourth Proportional to 65,222.82, 97,778.97 and 25,807.74

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Solution

The fourth proportional to 65,222.82, 97,778.97 and 25,807.74 is: 38,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.82 : 97,778.97 = 25,807.74 : x
  2. Step 2: Convert to fraction form
    65,222.82/97,778.97 = 25,807.74/x
  3. Step 3: Cross multiply
    65,222.82x = 97,778.97 × 25,807.74
  4. Step 4: Simplify right side
    65,222.82x = 2,523,454,235.23
  5. Step 5: Solve for x
    x = 2,523,454,235.23/65,222.82
  6. Step 6: Final answer
    x = 38,689.74

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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.