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Finding the Fourth Proportional to 58,982, 81,395.16 and 32,486

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Solution

The fourth proportional to 58,982, 81,395.16 and 32,486 is: 44,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,982 : 81,395.16 = 32,486 : x
  2. Step 2: Convert to fraction form
    58,982/81,395.16 = 32,486/x
  3. Step 3: Cross multiply
    58,982x = 81,395.16 × 32,486
  4. Step 4: Simplify right side
    58,982x = 2,644,203,167.76
  5. Step 5: Solve for x
    x = 2,644,203,167.76/58,982
  6. Step 6: Final answer
    x = 44,830.68

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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.