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Finding the Fourth Proportional to 58,777, 88,165.98 and 21,841

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Solution

The fourth proportional to 58,777, 88,165.98 and 21,841 is: 32,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,777 : 88,165.98 = 21,841 : x
  2. Step 2: Convert to fraction form
    58,777/88,165.98 = 21,841/x
  3. Step 3: Cross multiply
    58,777x = 88,165.98 × 21,841
  4. Step 4: Simplify right side
    58,777x = 1,925,633,169.18
  5. Step 5: Solve for x
    x = 1,925,633,169.18/58,777
  6. Step 6: Final answer
    x = 32,761.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.