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Finding the Fourth Proportional to 77,074, 106,362.12 and 41,746

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Solution

The fourth proportional to 77,074, 106,362.12 and 41,746 is: 57,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074 : 106,362.12 = 41,746 : x
  2. Step 2: Convert to fraction form
    77,074/106,362.12 = 41,746/x
  3. Step 3: Cross multiply
    77,074x = 106,362.12 × 41,746
  4. Step 4: Simplify right side
    77,074x = 4,440,193,061.52
  5. Step 5: Solve for x
    x = 4,440,193,061.52/77,074
  6. Step 6: Final answer
    x = 57,609.48

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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.