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Finding the Fourth Proportional to 109,492.17, 164,237.90 and 26,386.17

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Solution

The fourth proportional to 109,492.17, 164,237.90 and 26,386.17 is: 39,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,492.17 : 164,237.90 = 26,386.17 : x
  2. Step 2: Convert to fraction form
    109,492.17/164,237.90 = 26,386.17/x
  3. Step 3: Cross multiply
    109,492.17x = 164,237.90 × 26,386.17
  4. Step 4: Simplify right side
    109,492.17x = 4,333,609,017.91
  5. Step 5: Solve for x
    x = 4,333,609,017.91/109,492.17
  6. Step 6: Final answer
    x = 39,579.17

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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.