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Finding the Fourth Proportional to 100,447.84, 138,617.58 and 55,126.56

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Solution

The fourth proportional to 100,447.84, 138,617.58 and 55,126.56 is: 76,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,447.84 : 138,617.58 = 55,126.56 : x
  2. Step 2: Convert to fraction form
    100,447.84/138,617.58 = 55,126.56/x
  3. Step 3: Cross multiply
    100,447.84x = 138,617.58 × 55,126.56
  4. Step 4: Simplify right side
    100,447.84x = 7,641,510,034.11
  5. Step 5: Solve for x
    x = 7,641,510,034.11/100,447.84
  6. Step 6: Final answer
    x = 76,074.41

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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.