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Finding the Fourth Proportional to 101,653.44, 152,480.13 and 49,165.44

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Solution

The fourth proportional to 101,653.44, 152,480.13 and 49,165.44 is: 73,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,653.44 : 152,480.13 = 49,165.44 : x
  2. Step 2: Convert to fraction form
    101,653.44/152,480.13 = 49,165.44/x
  3. Step 3: Cross multiply
    101,653.44x = 152,480.13 × 49,165.44
  4. Step 4: Simplify right side
    101,653.44x = 7,496,752,682.71
  5. Step 5: Solve for x
    x = 7,496,752,682.71/101,653.44
  6. Step 6: Final answer
    x = 73,748.15

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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.