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Finding the Fourth Proportional to 82,333.18, 113,622.04 and 46,522.47

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Solution

The fourth proportional to 82,333.18, 113,622.04 and 46,522.47 is: 64,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,333.18 : 113,622.04 = 46,522.47 : x
  2. Step 2: Convert to fraction form
    82,333.18/113,622.04 = 46,522.47/x
  3. Step 3: Cross multiply
    82,333.18x = 113,622.04 × 46,522.47
  4. Step 4: Simplify right side
    82,333.18x = 5,285,977,947.24
  5. Step 5: Solve for x
    x = 5,285,977,947.24/82,333.18
  6. Step 6: Final answer
    x = 64,202.28

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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.