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Finding the Fourth Proportional to 109,550.34, 164,325.42 and 26,444.34

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Solution

The fourth proportional to 109,550.34, 164,325.42 and 26,444.34 is: 39,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,550.34 : 164,325.42 = 26,444.34 : x
  2. Step 2: Convert to fraction form
    109,550.34/164,325.42 = 26,444.34/x
  3. Step 3: Cross multiply
    109,550.34x = 164,325.42 × 26,444.34
  4. Step 4: Simplify right side
    109,550.34x = 4,345,477,277.12
  5. Step 5: Solve for x
    x = 4,345,477,277.12/109,550.34
  6. Step 6: Final answer
    x = 39,666.49

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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.