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Finding the Fourth Proportional to 58,284.88, 87,427.32 and 18,842

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Solution

The fourth proportional to 58,284.88, 87,427.32 and 18,842 is: 28,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,284.88 : 87,427.32 = 18,842 : x
  2. Step 2: Convert to fraction form
    58,284.88/87,427.32 = 18,842/x
  3. Step 3: Cross multiply
    58,284.88x = 87,427.32 × 18,842
  4. Step 4: Simplify right side
    58,284.88x = 1,647,305,563.44
  5. Step 5: Solve for x
    x = 1,647,305,563.44/58,284.88
  6. Step 6: Final answer
    x = 28,263.00

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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.