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Finding the Fourth Proportional to 72,438.84, 108,656.64 and 33,006.42

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Solution

The fourth proportional to 72,438.84, 108,656.64 and 33,006.42 is: 49,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,438.84 : 108,656.64 = 33,006.42 : x
  2. Step 2: Convert to fraction form
    72,438.84/108,656.64 = 33,006.42/x
  3. Step 3: Cross multiply
    72,438.84x = 108,656.64 × 33,006.42
  4. Step 4: Simplify right side
    72,438.84x = 3,586,366,695.63
  5. Step 5: Solve for x
    x = 3,586,366,695.63/72,438.84
  6. Step 6: Final answer
    x = 49,508.89

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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.