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Finding the Fourth Proportional to 37,134.98, 55,702.48 and 9,054.98

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Solution

The fourth proportional to 37,134.98, 55,702.48 and 9,054.98 is: 13,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,134.98 : 55,702.48 = 9,054.98 : x
  2. Step 2: Convert to fraction form
    37,134.98/55,702.48 = 9,054.98/x
  3. Step 3: Cross multiply
    37,134.98x = 55,702.48 × 9,054.98
  4. Step 4: Simplify right side
    37,134.98x = 504,384,842.35
  5. Step 5: Solve for x
    x = 504,384,842.35/37,134.98
  6. Step 6: Final answer
    x = 13,582.47

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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.