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Finding the Fourth Proportional to 67,029.53, 100,509.91 and 35,456.63

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Solution

The fourth proportional to 67,029.53, 100,509.91 and 35,456.63 is: 53,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,029.53 : 100,509.91 = 35,456.63 : x
  2. Step 2: Convert to fraction form
    67,029.53/100,509.91 = 35,456.63/x
  3. Step 3: Cross multiply
    67,029.53x = 100,509.91 × 35,456.63
  4. Step 4: Simplify right side
    67,029.53x = 3,563,742,099.01
  5. Step 5: Solve for x
    x = 3,563,742,099.01/67,029.53
  6. Step 6: Final answer
    x = 53,166.75

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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.