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Finding the Fourth Proportional to 82,841.10, 114,322.23 and 45,115.98

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Solution

The fourth proportional to 82,841.10, 114,322.23 and 45,115.98 is: 62,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,841.10 : 114,322.23 = 45,115.98 : x
  2. Step 2: Convert to fraction form
    82,841.10/114,322.23 = 45,115.98/x
  3. Step 3: Cross multiply
    82,841.10x = 114,322.23 × 45,115.98
  4. Step 4: Simplify right side
    82,841.10x = 5,157,759,442.24
  5. Step 5: Solve for x
    x = 5,157,759,442.24/82,841.10
  6. Step 6: Final answer
    x = 62,260.88

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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.