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Finding the Fourth Proportional to 109,914.66, 164,888.39 and 39,777.57

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Solution

The fourth proportional to 109,914.66, 164,888.39 and 39,777.57 is: 59,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,914.66 : 164,888.39 = 39,777.57 : x
  2. Step 2: Convert to fraction form
    109,914.66/164,888.39 = 39,777.57/x
  3. Step 3: Cross multiply
    109,914.66x = 164,888.39 × 39,777.57
  4. Step 4: Simplify right side
    109,914.66x = 6,558,859,276.52
  5. Step 5: Solve for x
    x = 6,558,859,276.52/109,914.66
  6. Step 6: Final answer
    x = 59,672.29

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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.