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Finding the Fourth Proportional to 97,652.88, 134,775.33 and 61,846.20

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Solution

The fourth proportional to 97,652.88, 134,775.33 and 61,846.20 is: 85,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,652.88 : 134,775.33 = 61,846.20 : x
  2. Step 2: Convert to fraction form
    97,652.88/134,775.33 = 61,846.20/x
  3. Step 3: Cross multiply
    97,652.88x = 134,775.33 × 61,846.20
  4. Step 4: Simplify right side
    97,652.88x = 8,335,342,014.25
  5. Step 5: Solve for x
    x = 8,335,342,014.25/97,652.88
  6. Step 6: Final answer
    x = 85,356.85

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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.