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Finding the Fourth Proportional to 37,766.67, 56,650 and 17,985.25

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Solution

The fourth proportional to 37,766.67, 56,650 and 17,985.25 is: 26,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,766.67 : 56,650 = 17,985.25 : x
  2. Step 2: Convert to fraction form
    37,766.67/56,650 = 17,985.25/x
  3. Step 3: Cross multiply
    37,766.67x = 56,650 × 17,985.25
  4. Step 4: Simplify right side
    37,766.67x = 1,018,864,412.50
  5. Step 5: Solve for x
    x = 1,018,864,412.50/37,766.67
  6. Step 6: Final answer
    x = 26,977.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.