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Finding the Fourth Proportional to 37,807.74, 52,168.59 and 22,698

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Solution

The fourth proportional to 37,807.74, 52,168.59 and 22,698 is: 31,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807.74 : 52,168.59 = 22,698 : x
  2. Step 2: Convert to fraction form
    37,807.74/52,168.59 = 22,698/x
  3. Step 3: Cross multiply
    37,807.74x = 52,168.59 × 22,698
  4. Step 4: Simplify right side
    37,807.74x = 1,184,122,655.82
  5. Step 5: Solve for x
    x = 1,184,122,655.82/37,807.74
  6. Step 6: Final answer
    x = 31,319.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.