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Finding the Fourth Proportional to 65,297.34, 97,807.77 and 54,177.66

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Solution

The fourth proportional to 65,297.34, 97,807.77 and 54,177.66 is: 81,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,297.34 : 97,807.77 = 54,177.66 : x
  2. Step 2: Convert to fraction form
    65,297.34/97,807.77 = 54,177.66/x
  3. Step 3: Cross multiply
    65,297.34x = 97,807.77 × 54,177.66
  4. Step 4: Simplify right side
    65,297.34x = 5,298,996,108.42
  5. Step 5: Solve for x
    x = 5,298,996,108.42/65,297.34
  6. Step 6: Final answer
    x = 81,151.79

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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.