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Finding the Fourth Proportional to 49,842, 74,779.20 and 34,864.56

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Solution

The fourth proportional to 49,842, 74,779.20 and 34,864.56 is: 52,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,842 : 74,779.20 = 34,864.56 : x
  2. Step 2: Convert to fraction form
    49,842/74,779.20 = 34,864.56/x
  3. Step 3: Cross multiply
    49,842x = 74,779.20 × 34,864.56
  4. Step 4: Simplify right side
    49,842x = 2,607,143,905.15
  5. Step 5: Solve for x
    x = 2,607,143,905.15/49,842
  6. Step 6: Final answer
    x = 52,308.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.