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Finding the Fourth Proportional to 109,653.53, 164,486.18 and 34,779.36

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Solution

The fourth proportional to 109,653.53, 164,486.18 and 34,779.36 is: 52,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,653.53 : 164,486.18 = 34,779.36 : x
  2. Step 2: Convert to fraction form
    109,653.53/164,486.18 = 34,779.36/x
  3. Step 3: Cross multiply
    109,653.53x = 164,486.18 × 34,779.36
  4. Step 4: Simplify right side
    109,653.53x = 5,720,723,895.35
  5. Step 5: Solve for x
    x = 5,720,723,895.35/109,653.53
  6. Step 6: Final answer
    x = 52,170.90

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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.