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Finding the Fourth Proportional to 101,859.81, 152,702.84 and 38,644.58

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Solution

The fourth proportional to 101,859.81, 152,702.84 and 38,644.58 is: 57,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,859.81 : 152,702.84 = 38,644.58 : x
  2. Step 2: Convert to fraction form
    101,859.81/152,702.84 = 38,644.58/x
  3. Step 3: Cross multiply
    101,859.81x = 152,702.84 × 38,644.58
  4. Step 4: Simplify right side
    101,859.81x = 5,901,136,159.87
  5. Step 5: Solve for x
    x = 5,901,136,159.87/101,859.81
  6. Step 6: Final answer
    x = 57,933.90

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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.