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Finding the Fourth Proportional to 58,781, 81,117.78 and 32,285

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Solution

The fourth proportional to 58,781, 81,117.78 and 32,285 is: 44,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,781 : 81,117.78 = 32,285 : x
  2. Step 2: Convert to fraction form
    58,781/81,117.78 = 32,285/x
  3. Step 3: Cross multiply
    58,781x = 81,117.78 × 32,285
  4. Step 4: Simplify right side
    58,781x = 2,618,887,527.30
  5. Step 5: Solve for x
    x = 2,618,887,527.30/58,781
  6. Step 6: Final answer
    x = 44,553.30

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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.