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Finding the Fourth Proportional to 37,792.98, 56,682.99 and 10,084.50

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Solution

The fourth proportional to 37,792.98, 56,682.99 and 10,084.50 is: 15,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,792.98 : 56,682.99 = 10,084.50 : x
  2. Step 2: Convert to fraction form
    37,792.98/56,682.99 = 10,084.50/x
  3. Step 3: Cross multiply
    37,792.98x = 56,682.99 × 10,084.50
  4. Step 4: Simplify right side
    37,792.98x = 571,619,612.66
  5. Step 5: Solve for x
    x = 571,619,612.66/37,792.98
  6. Step 6: Final answer
    x = 15,125.02

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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.