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Finding the Fourth Proportional to 48,769, 73,153.54 and 11,833

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Solution

The fourth proportional to 48,769, 73,153.54 and 11,833 is: 17,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,769 : 73,153.54 = 11,833 : x
  2. Step 2: Convert to fraction form
    48,769/73,153.54 = 11,833/x
  3. Step 3: Cross multiply
    48,769x = 73,153.54 × 11,833
  4. Step 4: Simplify right side
    48,769x = 865,625,779.66
  5. Step 5: Solve for x
    x = 865,625,779.66/48,769
  6. Step 6: Final answer
    x = 17,749.51

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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.