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Finding the Fourth Proportional to 101,372.13, 152,048.48 and 31,232.61

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Solution

The fourth proportional to 101,372.13, 152,048.48 and 31,232.61 is: 46,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,372.13 : 152,048.48 = 31,232.61 : x
  2. Step 2: Convert to fraction form
    101,372.13/152,048.48 = 31,232.61/x
  3. Step 3: Cross multiply
    101,372.13x = 152,048.48 × 31,232.61
  4. Step 4: Simplify right side
    101,372.13x = 4,748,870,720.77
  5. Step 5: Solve for x
    x = 4,748,870,720.77/101,372.13
  6. Step 6: Final answer
    x = 46,845.92

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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.