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Finding the Fourth Proportional to 58,497.92, 80,728 and 34,624

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Solution

The fourth proportional to 58,497.92, 80,728 and 34,624 is: 47,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,497.92 : 80,728 = 34,624 : x
  2. Step 2: Convert to fraction form
    58,497.92/80,728 = 34,624/x
  3. Step 3: Cross multiply
    58,497.92x = 80,728 × 34,624
  4. Step 4: Simplify right side
    58,497.92x = 2,795,126,272
  5. Step 5: Solve for x
    x = 2,795,126,272/58,497.92
  6. Step 6: Final answer
    x = 47,781.64

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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.