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Finding the Fourth Proportional to 129,295.74, 193,943.64 and 35,801.49

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Solution

The fourth proportional to 129,295.74, 193,943.64 and 35,801.49 is: 53,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,295.74 : 193,943.64 = 35,801.49 : x
  2. Step 2: Convert to fraction form
    129,295.74/193,943.64 = 35,801.49/x
  3. Step 3: Cross multiply
    129,295.74x = 193,943.64 × 35,801.49
  4. Step 4: Simplify right side
    129,295.74x = 6,943,471,288.02
  5. Step 5: Solve for x
    x = 6,943,471,288.02/129,295.74
  6. Step 6: Final answer
    x = 53,702.24

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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.