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Finding the Fourth Proportional to 52,695.45, 72,749.81 and 34,842.24

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Solution

The fourth proportional to 52,695.45, 72,749.81 and 34,842.24 is: 48,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,695.45 : 72,749.81 = 34,842.24 : x
  2. Step 2: Convert to fraction form
    52,695.45/72,749.81 = 34,842.24/x
  3. Step 3: Cross multiply
    52,695.45x = 72,749.81 × 34,842.24
  4. Step 4: Simplify right side
    52,695.45x = 2,534,766,339.97
  5. Step 5: Solve for x
    x = 2,534,766,339.97/52,695.45
  6. Step 6: Final answer
    x = 48,102.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.