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Finding the Fourth Proportional to 82,820.46, 114,302.52 and 47,022.06

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Solution

The fourth proportional to 82,820.46, 114,302.52 and 47,022.06 is: 64,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,820.46 : 114,302.52 = 47,022.06 : x
  2. Step 2: Convert to fraction form
    82,820.46/114,302.52 = 47,022.06/x
  3. Step 3: Cross multiply
    82,820.46x = 114,302.52 × 47,022.06
  4. Step 4: Simplify right side
    82,820.46x = 5,374,739,953.59
  5. Step 5: Solve for x
    x = 5,374,739,953.59/82,820.46
  6. Step 6: Final answer
    x = 64,896.28

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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.