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Finding the Fourth Proportional to 82,816.46, 114,297 and 47,018.06

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Solution

The fourth proportional to 82,816.46, 114,297 and 47,018.06 is: 64,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,816.46 : 114,297 = 47,018.06 : x
  2. Step 2: Convert to fraction form
    82,816.46/114,297 = 47,018.06/x
  3. Step 3: Cross multiply
    82,816.46x = 114,297 × 47,018.06
  4. Step 4: Simplify right side
    82,816.46x = 5,374,023,203.82
  5. Step 5: Solve for x
    x = 5,374,023,203.82/82,816.46
  6. Step 6: Final answer
    x = 64,890.76

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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.