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Finding the Fourth Proportional to 82,989.32, 114,524.72 and 47,179.34

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Solution

The fourth proportional to 82,989.32, 114,524.72 and 47,179.34 is: 65,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,989.32 : 114,524.72 = 47,179.34 : x
  2. Step 2: Convert to fraction form
    82,989.32/114,524.72 = 47,179.34/x
  3. Step 3: Cross multiply
    82,989.32x = 114,524.72 × 47,179.34
  4. Step 4: Simplify right side
    82,989.32x = 5,403,199,894.76
  5. Step 5: Solve for x
    x = 5,403,199,894.76/82,989.32
  6. Step 6: Final answer
    x = 65,107.18

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