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Finding the Fourth Proportional to 115,216.56, 172,824.03 and 32,110.56

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Solution

The fourth proportional to 115,216.56, 172,824.03 and 32,110.56 is: 48,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,216.56 : 172,824.03 = 32,110.56 : x
  2. Step 2: Convert to fraction form
    115,216.56/172,824.03 = 32,110.56/x
  3. Step 3: Cross multiply
    115,216.56x = 172,824.03 × 32,110.56
  4. Step 4: Simplify right side
    115,216.56x = 5,549,476,384.76
  5. Step 5: Solve for x
    x = 5,549,476,384.76/115,216.56
  6. Step 6: Final answer
    x = 48,165.61

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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.