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Finding the Fourth Proportional to 86,102.28, 118,822.57 and 47,341.74

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Solution

The fourth proportional to 86,102.28, 118,822.57 and 47,341.74 is: 65,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,102.28 : 118,822.57 = 47,341.74 : x
  2. Step 2: Convert to fraction form
    86,102.28/118,822.57 = 47,341.74/x
  3. Step 3: Cross multiply
    86,102.28x = 118,822.57 × 47,341.74
  4. Step 4: Simplify right side
    86,102.28x = 5,625,267,096.72
  5. Step 5: Solve for x
    x = 5,625,267,096.72/86,102.28
  6. Step 6: Final answer
    x = 65,332.38

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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.