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Finding the Fourth Proportional to 86,839.84, 119,842.50 and 49,114

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Solution

The fourth proportional to 86,839.84, 119,842.50 and 49,114 is: 67,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,839.84 : 119,842.50 = 49,114 : x
  2. Step 2: Convert to fraction form
    86,839.84/119,842.50 = 49,114/x
  3. Step 3: Cross multiply
    86,839.84x = 119,842.50 × 49,114
  4. Step 4: Simplify right side
    86,839.84x = 5,885,944,545
  5. Step 5: Solve for x
    x = 5,885,944,545/86,839.84
  6. Step 6: Final answer
    x = 67,779.31

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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.