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Finding the Fourth Proportional to 58,842, 81,205.74 and 33,002.96

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Solution

The fourth proportional to 58,842, 81,205.74 and 33,002.96 is: 45,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842 : 81,205.74 = 33,002.96 : x
  2. Step 2: Convert to fraction form
    58,842/81,205.74 = 33,002.96/x
  3. Step 3: Cross multiply
    58,842x = 81,205.74 × 33,002.96
  4. Step 4: Simplify right side
    58,842x = 2,680,029,788.99
  5. Step 5: Solve for x
    x = 2,680,029,788.99/58,842
  6. Step 6: Final answer
    x = 45,546.20

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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.