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Finding the Fourth Proportional to 47,499.84, 71,202.78 and 22,495.95

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Solution

The fourth proportional to 47,499.84, 71,202.78 and 22,495.95 is: 33,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,499.84 : 71,202.78 = 22,495.95 : x
  2. Step 2: Convert to fraction form
    47,499.84/71,202.78 = 22,495.95/x
  3. Step 3: Cross multiply
    47,499.84x = 71,202.78 × 22,495.95
  4. Step 4: Simplify right side
    47,499.84x = 1,601,774,178.74
  5. Step 5: Solve for x
    x = 1,601,774,178.74/47,499.84
  6. Step 6: Final answer
    x = 33,721.68

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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.