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Finding the Fourth Proportional to 82,841.10, 114,322.02 and 45,115.32

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Solution

The fourth proportional to 82,841.10, 114,322.02 and 45,115.32 is: 62,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,841.10 : 114,322.02 = 45,115.32 : x
  2. Step 2: Convert to fraction form
    82,841.10/114,322.02 = 45,115.32/x
  3. Step 3: Cross multiply
    82,841.10x = 114,322.02 × 45,115.32
  4. Step 4: Simplify right side
    82,841.10x = 5,157,674,515.35
  5. Step 5: Solve for x
    x = 5,157,674,515.35/82,841.10
  6. Step 6: Final answer
    x = 62,259.85

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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.