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Finding the Fourth Proportional to 109,302.29, 163,959.32 and 34,428.30

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Solution

The fourth proportional to 109,302.29, 163,959.32 and 34,428.30 is: 51,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,302.29 : 163,959.32 = 34,428.30 : x
  2. Step 2: Convert to fraction form
    109,302.29/163,959.32 = 34,428.30/x
  3. Step 3: Cross multiply
    109,302.29x = 163,959.32 × 34,428.30
  4. Step 4: Simplify right side
    109,302.29x = 5,644,840,656.76
  5. Step 5: Solve for x
    x = 5,644,840,656.76/109,302.29
  6. Step 6: Final answer
    x = 51,644.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.