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Finding the Fourth Proportional to 109,482.78, 164,224.32 and 26,376.78

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Solution

The fourth proportional to 109,482.78, 164,224.32 and 26,376.78 is: 39,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,482.78 : 164,224.32 = 26,376.78 : x
  2. Step 2: Convert to fraction form
    109,482.78/164,224.32 = 26,376.78/x
  3. Step 3: Cross multiply
    109,482.78x = 164,224.32 × 26,376.78
  4. Step 4: Simplify right side
    109,482.78x = 4,331,708,759.29
  5. Step 5: Solve for x
    x = 4,331,708,759.29/109,482.78
  6. Step 6: Final answer
    x = 39,565.21

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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.