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Finding the Fourth Proportional to 103,289.72, 154,934.62 and 33,218.24

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Solution

The fourth proportional to 103,289.72, 154,934.62 and 33,218.24 is: 49,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,289.72 : 154,934.62 = 33,218.24 : x
  2. Step 2: Convert to fraction form
    103,289.72/154,934.62 = 33,218.24/x
  3. Step 3: Cross multiply
    103,289.72x = 154,934.62 × 33,218.24
  4. Step 4: Simplify right side
    103,289.72x = 5,146,655,695.76
  5. Step 5: Solve for x
    x = 5,146,655,695.76/103,289.72
  6. Step 6: Final answer
    x = 49,827.37

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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.