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Finding the Fourth Proportional to 78,632.56, 108,512.94 and 42,822.56

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Solution

The fourth proportional to 78,632.56, 108,512.94 and 42,822.56 is: 59,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632.56 : 108,512.94 = 42,822.56 : x
  2. Step 2: Convert to fraction form
    78,632.56/108,512.94 = 42,822.56/x
  3. Step 3: Cross multiply
    78,632.56x = 108,512.94 × 42,822.56
  4. Step 4: Simplify right side
    78,632.56x = 4,646,801,883.93
  5. Step 5: Solve for x
    x = 4,646,801,883.93/78,632.56
  6. Step 6: Final answer
    x = 59,095.14

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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.