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Finding the Fourth Proportional to 82,096.13, 113,292.47 and 46,285.89

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Solution

The fourth proportional to 82,096.13, 113,292.47 and 46,285.89 is: 63,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,096.13 : 113,292.47 = 46,285.89 : x
  2. Step 2: Convert to fraction form
    82,096.13/113,292.47 = 46,285.89/x
  3. Step 3: Cross multiply
    82,096.13x = 113,292.47 × 46,285.89
  4. Step 4: Simplify right side
    82,096.13x = 5,243,842,572.82
  5. Step 5: Solve for x
    x = 5,243,842,572.82/82,096.13
  6. Step 6: Final answer
    x = 63,874.42

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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.