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Finding the Fourth Proportional to 65,169.34, 97,755.83 and 23,043.47

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Solution

The fourth proportional to 65,169.34, 97,755.83 and 23,043.47 is: 34,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,169.34 : 97,755.83 = 23,043.47 : x
  2. Step 2: Convert to fraction form
    65,169.34/97,755.83 = 23,043.47/x
  3. Step 3: Cross multiply
    65,169.34x = 97,755.83 × 23,043.47
  4. Step 4: Simplify right side
    65,169.34x = 2,252,633,018.35
  5. Step 5: Solve for x
    x = 2,252,633,018.35/65,169.34
  6. Step 6: Final answer
    x = 34,565.84

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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.