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Finding the Fourth Proportional to 106,029.92, 159,044.52 and 53,483.60

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Solution

The fourth proportional to 106,029.92, 159,044.52 and 53,483.60 is: 80,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,029.92 : 159,044.52 = 53,483.60 : x
  2. Step 2: Convert to fraction form
    106,029.92/159,044.52 = 53,483.60/x
  3. Step 3: Cross multiply
    106,029.92x = 159,044.52 × 53,483.60
  4. Step 4: Simplify right side
    106,029.92x = 8,506,273,489.87
  5. Step 5: Solve for x
    x = 8,506,273,489.87/106,029.92
  6. Step 6: Final answer
    x = 80,225.22

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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.