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Finding the Fourth Proportional to 100,709.65, 138,976.37 and 55,387.58

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Solution

The fourth proportional to 100,709.65, 138,976.37 and 55,387.58 is: 76,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,709.65 : 138,976.37 = 55,387.58 : x
  2. Step 2: Convert to fraction form
    100,709.65/138,976.37 = 55,387.58/x
  3. Step 3: Cross multiply
    100,709.65x = 138,976.37 × 55,387.58
  4. Step 4: Simplify right side
    100,709.65x = 7,697,564,811.48
  5. Step 5: Solve for x
    x = 7,697,564,811.48/100,709.65
  6. Step 6: Final answer
    x = 76,433.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.