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Finding the Fourth Proportional to 107,080.32, 160,628.34 and 28,194

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Solution

The fourth proportional to 107,080.32, 160,628.34 and 28,194 is: 42,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,080.32 : 160,628.34 = 28,194 : x
  2. Step 2: Convert to fraction form
    107,080.32/160,628.34 = 28,194/x
  3. Step 3: Cross multiply
    107,080.32x = 160,628.34 × 28,194
  4. Step 4: Simplify right side
    107,080.32x = 4,528,755,417.96
  5. Step 5: Solve for x
    x = 4,528,755,417.96/107,080.32
  6. Step 6: Final answer
    x = 42,293.07

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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.