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Finding the Fourth Proportional to 34,216.98, 51,287.13 and 22,393.50

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Solution

The fourth proportional to 34,216.98, 51,287.13 and 22,393.50 is: 33,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,216.98 : 51,287.13 = 22,393.50 : x
  2. Step 2: Convert to fraction form
    34,216.98/51,287.13 = 22,393.50/x
  3. Step 3: Cross multiply
    34,216.98x = 51,287.13 × 22,393.50
  4. Step 4: Simplify right side
    34,216.98x = 1,148,498,345.66
  5. Step 5: Solve for x
    x = 1,148,498,345.66/34,216.98
  6. Step 6: Final answer
    x = 33,565.16

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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.