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Finding the Fourth Proportional to 101,729.44, 152,565 and 30,658.96

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Solution

The fourth proportional to 101,729.44, 152,565 and 30,658.96 is: 45,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,729.44 : 152,565 = 30,658.96 : x
  2. Step 2: Convert to fraction form
    101,729.44/152,565 = 30,658.96/x
  3. Step 3: Cross multiply
    101,729.44x = 152,565 × 30,658.96
  4. Step 4: Simplify right side
    101,729.44x = 4,677,484,232.40
  5. Step 5: Solve for x
    x = 4,677,484,232.40/101,729.44
  6. Step 6: Final answer
    x = 45,979.65

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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.