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Finding the Fourth Proportional to 33,829.74, 50,749.47 and 10,458

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Solution

The fourth proportional to 33,829.74, 50,749.47 and 10,458 is: 15,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.74 : 50,749.47 = 10,458 : x
  2. Step 2: Convert to fraction form
    33,829.74/50,749.47 = 10,458/x
  3. Step 3: Cross multiply
    33,829.74x = 50,749.47 × 10,458
  4. Step 4: Simplify right side
    33,829.74x = 530,737,957.26
  5. Step 5: Solve for x
    x = 530,737,957.26/33,829.74
  6. Step 6: Final answer
    x = 15,688.50

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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.