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Finding the Fourth Proportional to 100,023.84, 149,932.08 and 47,393.28

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Solution

The fourth proportional to 100,023.84, 149,932.08 and 47,393.28 is: 71,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,023.84 : 149,932.08 = 47,393.28 : x
  2. Step 2: Convert to fraction form
    100,023.84/149,932.08 = 47,393.28/x
  3. Step 3: Cross multiply
    100,023.84x = 149,932.08 × 47,393.28
  4. Step 4: Simplify right side
    100,023.84x = 7,105,773,048.42
  5. Step 5: Solve for x
    x = 7,105,773,048.42/100,023.84
  6. Step 6: Final answer
    x = 71,040.79

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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.