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Finding the Fourth Proportional to 37,852.25, 52,257.08 and 22,748.58

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Solution

The fourth proportional to 37,852.25, 52,257.08 and 22,748.58 is: 31,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,852.25 : 52,257.08 = 22,748.58 : x
  2. Step 2: Convert to fraction form
    37,852.25/52,257.08 = 22,748.58/x
  3. Step 3: Cross multiply
    37,852.25x = 52,257.08 × 22,748.58
  4. Step 4: Simplify right side
    37,852.25x = 1,188,774,421.82
  5. Step 5: Solve for x
    x = 1,188,774,421.82/37,852.25
  6. Step 6: Final answer
    x = 31,405.65

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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.