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Finding the Fourth Proportional to 109,492.42, 164,238.27 and 26,386.42

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Solution

The fourth proportional to 109,492.42, 164,238.27 and 26,386.42 is: 39,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,492.42 : 164,238.27 = 26,386.42 : x
  2. Step 2: Convert to fraction form
    109,492.42/164,238.27 = 26,386.42/x
  3. Step 3: Cross multiply
    109,492.42x = 164,238.27 × 26,386.42
  4. Step 4: Simplify right side
    109,492.42x = 4,333,659,972.29
  5. Step 5: Solve for x
    x = 4,333,659,972.29/109,492.42
  6. Step 6: Final answer
    x = 39,579.54

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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.