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Finding the Fourth Proportional to 109,765.58, 164,672.67 and 34,908.62

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Solution

The fourth proportional to 109,765.58, 164,672.67 and 34,908.62 is: 52,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765.58 : 164,672.67 = 34,908.62 : x
  2. Step 2: Convert to fraction form
    109,765.58/164,672.67 = 34,908.62/x
  3. Step 3: Cross multiply
    109,765.58x = 164,672.67 × 34,908.62
  4. Step 4: Simplify right side
    109,765.58x = 5,748,495,661.42
  5. Step 5: Solve for x
    x = 5,748,495,661.42/109,765.58
  6. Step 6: Final answer
    x = 52,370.66

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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.