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Finding the Fourth Proportional to 72,832.88, 109,255.80 and 31,270.16

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Solution

The fourth proportional to 72,832.88, 109,255.80 and 31,270.16 is: 46,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,832.88 : 109,255.80 = 31,270.16 : x
  2. Step 2: Convert to fraction form
    72,832.88/109,255.80 = 31,270.16/x
  3. Step 3: Cross multiply
    72,832.88x = 109,255.80 × 31,270.16
  4. Step 4: Simplify right side
    72,832.88x = 3,416,446,346.93
  5. Step 5: Solve for x
    x = 3,416,446,346.93/72,832.88
  6. Step 6: Final answer
    x = 46,908.02

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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.