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Finding the Fourth Proportional to 106,114.61, 159,138.08 and 35,024.05

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Solution

The fourth proportional to 106,114.61, 159,138.08 and 35,024.05 is: 52,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.61 : 159,138.08 = 35,024.05 : x
  2. Step 2: Convert to fraction form
    106,114.61/159,138.08 = 35,024.05/x
  3. Step 3: Cross multiply
    106,114.61x = 159,138.08 × 35,024.05
  4. Step 4: Simplify right side
    106,114.61x = 5,573,660,070.82
  5. Step 5: Solve for x
    x = 5,573,660,070.82/106,114.61
  6. Step 6: Final answer
    x = 52,524.91

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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.