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Finding the Fourth Proportional to 82,210.83, 113,515.88 and 53,544.12

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Solution

The fourth proportional to 82,210.83, 113,515.88 and 53,544.12 is: 73,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,210.83 : 113,515.88 = 53,544.12 : x
  2. Step 2: Convert to fraction form
    82,210.83/113,515.88 = 53,544.12/x
  3. Step 3: Cross multiply
    82,210.83x = 113,515.88 × 53,544.12
  4. Step 4: Simplify right side
    82,210.83x = 6,078,107,632.91
  5. Step 5: Solve for x
    x = 6,078,107,632.91/82,210.83
  6. Step 6: Final answer
    x = 73,933.17

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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.