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Finding the Fourth Proportional to 49,154.76, 73,721.04 and 19,564.56

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Solution

The fourth proportional to 49,154.76, 73,721.04 and 19,564.56 is: 29,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,154.76 : 73,721.04 = 19,564.56 : x
  2. Step 2: Convert to fraction form
    49,154.76/73,721.04 = 19,564.56/x
  3. Step 3: Cross multiply
    49,154.76x = 73,721.04 × 19,564.56
  4. Step 4: Simplify right side
    49,154.76x = 1,442,319,710.34
  5. Step 5: Solve for x
    x = 1,442,319,710.34/49,154.76
  6. Step 6: Final answer
    x = 29,342.42

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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.