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Finding the Fourth Proportional to 77,301.54, 106,674.72 and 43,309.68

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Solution

The fourth proportional to 77,301.54, 106,674.72 and 43,309.68 is: 59,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,301.54 : 106,674.72 = 43,309.68 : x
  2. Step 2: Convert to fraction form
    77,301.54/106,674.72 = 43,309.68/x
  3. Step 3: Cross multiply
    77,301.54x = 106,674.72 × 43,309.68
  4. Step 4: Simplify right side
    77,301.54x = 4,620,047,987.29
  5. Step 5: Solve for x
    x = 4,620,047,987.29/77,301.54
  6. Step 6: Final answer
    x = 59,766.57

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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.