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Finding the Fourth Proportional to 82,822.50, 114,287.85 and 47,014.02

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Solution

The fourth proportional to 82,822.50, 114,287.85 and 47,014.02 is: 64,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,822.50 : 114,287.85 = 47,014.02 : x
  2. Step 2: Convert to fraction form
    82,822.50/114,287.85 = 47,014.02/x
  3. Step 3: Cross multiply
    82,822.50x = 114,287.85 × 47,014.02
  4. Step 4: Simplify right side
    82,822.50x = 5,373,131,265.66
  5. Step 5: Solve for x
    x = 5,373,131,265.66/82,822.50
  6. Step 6: Final answer
    x = 64,875.26

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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.