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Finding the Fourth Proportional to 109,700, 164,550.96 and 26,594

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Solution

The fourth proportional to 109,700, 164,550.96 and 26,594 is: 39,891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,700 : 164,550.96 = 26,594 : x
  2. Step 2: Convert to fraction form
    109,700/164,550.96 = 26,594/x
  3. Step 3: Cross multiply
    109,700x = 164,550.96 × 26,594
  4. Step 4: Simplify right side
    109,700x = 4,376,068,230.24
  5. Step 5: Solve for x
    x = 4,376,068,230.24/109,700
  6. Step 6: Final answer
    x = 39,891.23

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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.