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Finding the Fourth Proportional to 73,077.21, 109,608.66 and 49,536

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Solution

The fourth proportional to 73,077.21, 109,608.66 and 49,536 is: 74,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,077.21 : 109,608.66 = 49,536 : x
  2. Step 2: Convert to fraction form
    73,077.21/109,608.66 = 49,536/x
  3. Step 3: Cross multiply
    73,077.21x = 109,608.66 × 49,536
  4. Step 4: Simplify right side
    73,077.21x = 5,429,574,581.76
  5. Step 5: Solve for x
    x = 5,429,574,581.76/73,077.21
  6. Step 6: Final answer
    x = 74,299.15

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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.