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Finding the Fourth Proportional to 101,976.37, 152,963.91 and 39,646.87

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Solution

The fourth proportional to 101,976.37, 152,963.91 and 39,646.87 is: 59,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,976.37 : 152,963.91 = 39,646.87 : x
  2. Step 2: Convert to fraction form
    101,976.37/152,963.91 = 39,646.87/x
  3. Step 3: Cross multiply
    101,976.37x = 152,963.91 × 39,646.87
  4. Step 4: Simplify right side
    101,976.37x = 6,064,539,872.05
  5. Step 5: Solve for x
    x = 6,064,539,872.05/101,976.37
  6. Step 6: Final answer
    x = 59,470.05

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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.