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Finding the Fourth Proportional to 65,099.86, 97,649.79 and 61,775.62

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Solution

The fourth proportional to 65,099.86, 97,649.79 and 61,775.62 is: 92,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,099.86 : 97,649.79 = 61,775.62 : x
  2. Step 2: Convert to fraction form
    65,099.86/97,649.79 = 61,775.62/x
  3. Step 3: Cross multiply
    65,099.86x = 97,649.79 × 61,775.62
  4. Step 4: Simplify right side
    65,099.86x = 6,032,376,320.12
  5. Step 5: Solve for x
    x = 6,032,376,320.12/65,099.86
  6. Step 6: Final answer
    x = 92,663.43

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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.