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Finding the Fourth Proportional to 49,483.44, 74,346.84 and 31,721.76

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Solution

The fourth proportional to 49,483.44, 74,346.84 and 31,721.76 is: 47,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,483.44 : 74,346.84 = 31,721.76 : x
  2. Step 2: Convert to fraction form
    49,483.44/74,346.84 = 31,721.76/x
  3. Step 3: Cross multiply
    49,483.44x = 74,346.84 × 31,721.76
  4. Step 4: Simplify right side
    49,483.44x = 2,358,412,615.24
  5. Step 5: Solve for x
    x = 2,358,412,615.24/49,483.44
  6. Step 6: Final answer
    x = 47,660.64

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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.