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Finding the Fourth Proportional to 109,677, 164,516.40 and 26,571

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Solution

The fourth proportional to 109,677, 164,516.40 and 26,571 is: 39,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,677 : 164,516.40 = 26,571 : x
  2. Step 2: Convert to fraction form
    109,677/164,516.40 = 26,571/x
  3. Step 3: Cross multiply
    109,677x = 164,516.40 × 26,571
  4. Step 4: Simplify right side
    109,677x = 4,371,365,264.40
  5. Step 5: Solve for x
    x = 4,371,365,264.40/109,677
  6. Step 6: Final answer
    x = 39,856.72

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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.