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Finding the Fourth Proportional to 101,358.34, 152,039.33 and 31,235.83

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Solution

The fourth proportional to 101,358.34, 152,039.33 and 31,235.83 is: 46,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,358.34 : 152,039.33 = 31,235.83 : x
  2. Step 2: Convert to fraction form
    101,358.34/152,039.33 = 31,235.83/x
  3. Step 3: Cross multiply
    101,358.34x = 152,039.33 × 31,235.83
  4. Step 4: Simplify right side
    101,358.34x = 4,749,074,246.05
  5. Step 5: Solve for x
    x = 4,749,074,246.05/101,358.34
  6. Step 6: Final answer
    x = 46,854.30

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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.