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Finding the Fourth Proportional to 85,833.76, 118,449.36 and 47,593.38

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Solution

The fourth proportional to 85,833.76, 118,449.36 and 47,593.38 is: 65,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,833.76 : 118,449.36 = 47,593.38 : x
  2. Step 2: Convert to fraction form
    85,833.76/118,449.36 = 47,593.38/x
  3. Step 3: Cross multiply
    85,833.76x = 118,449.36 × 47,593.38
  4. Step 4: Simplify right side
    85,833.76x = 5,637,405,401.24
  5. Step 5: Solve for x
    x = 5,637,405,401.24/85,833.76
  6. Step 6: Final answer
    x = 65,678.18

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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.