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Finding the Fourth Proportional to 101,826.27, 152,788.02 and 49,206.51

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Solution

The fourth proportional to 101,826.27, 152,788.02 and 49,206.51 is: 73,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,826.27 : 152,788.02 = 49,206.51 : x
  2. Step 2: Convert to fraction form
    101,826.27/152,788.02 = 49,206.51/x
  3. Step 3: Cross multiply
    101,826.27x = 152,788.02 × 49,206.51
  4. Step 4: Simplify right side
    101,826.27x = 7,518,165,234.01
  5. Step 5: Solve for x
    x = 7,518,165,234.01/101,826.27
  6. Step 6: Final answer
    x = 73,833.26

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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.