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Finding the Fourth Proportional to 77,617, 107,111.60 and 44,083

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Solution

The fourth proportional to 77,617, 107,111.60 and 44,083 is: 60,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,617 : 107,111.60 = 44,083 : x
  2. Step 2: Convert to fraction form
    77,617/107,111.60 = 44,083/x
  3. Step 3: Cross multiply
    77,617x = 107,111.60 × 44,083
  4. Step 4: Simplify right side
    77,617x = 4,721,800,662.80
  5. Step 5: Solve for x
    x = 4,721,800,662.80/77,617
  6. Step 6: Final answer
    x = 60,834.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.