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Finding the Fourth Proportional to 82,097.13, 113,293.84 and 46,286.89

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Solution

The fourth proportional to 82,097.13, 113,293.84 and 46,286.89 is: 63,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,097.13 : 113,293.84 = 46,286.89 : x
  2. Step 2: Convert to fraction form
    82,097.13/113,293.84 = 46,286.89/x
  3. Step 3: Cross multiply
    82,097.13x = 113,293.84 × 46,286.89
  4. Step 4: Simplify right side
    82,097.13x = 5,244,019,509.76
  5. Step 5: Solve for x
    x = 5,244,019,509.76/82,097.13
  6. Step 6: Final answer
    x = 63,875.80

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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.