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Finding the Fourth Proportional to 58,424.94, 80,632.44 and 35,778.96

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Solution

The fourth proportional to 58,424.94, 80,632.44 and 35,778.96 is: 49,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,424.94 : 80,632.44 = 35,778.96 : x
  2. Step 2: Convert to fraction form
    58,424.94/80,632.44 = 35,778.96/x
  3. Step 3: Cross multiply
    58,424.94x = 80,632.44 × 35,778.96
  4. Step 4: Simplify right side
    58,424.94x = 2,884,944,845.46
  5. Step 5: Solve for x
    x = 2,884,944,845.46/58,424.94
  6. Step 6: Final answer
    x = 49,378.65

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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.