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Finding the Fourth Proportional to 109,550.76, 164,326.14 and 35,678.76

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Solution

The fourth proportional to 109,550.76, 164,326.14 and 35,678.76 is: 53,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,550.76 : 164,326.14 = 35,678.76 : x
  2. Step 2: Convert to fraction form
    109,550.76/164,326.14 = 35,678.76/x
  3. Step 3: Cross multiply
    109,550.76x = 164,326.14 × 35,678.76
  4. Step 4: Simplify right side
    109,550.76x = 5,862,952,910.79
  5. Step 5: Solve for x
    x = 5,862,952,910.79/109,550.76
  6. Step 6: Final answer
    x = 53,518.14

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1.5x scale

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.