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Finding the Fourth Proportional to 109,653.29, 164,485.80 and 34,779.11

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Solution

The fourth proportional to 109,653.29, 164,485.80 and 34,779.11 is: 52,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,653.29 : 164,485.80 = 34,779.11 : x
  2. Step 2: Convert to fraction form
    109,653.29/164,485.80 = 34,779.11/x
  3. Step 3: Cross multiply
    109,653.29x = 164,485.80 × 34,779.11
  4. Step 4: Simplify right side
    109,653.29x = 5,720,669,557.74
  5. Step 5: Solve for x
    x = 5,720,669,557.74/109,653.29
  6. Step 6: Final answer
    x = 52,170.53

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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.