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Finding the Fourth Proportional to 37,584.66, 56,376.99 and 9,880.50

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Solution

The fourth proportional to 37,584.66, 56,376.99 and 9,880.50 is: 14,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,584.66 : 56,376.99 = 9,880.50 : x
  2. Step 2: Convert to fraction form
    37,584.66/56,376.99 = 9,880.50/x
  3. Step 3: Cross multiply
    37,584.66x = 56,376.99 × 9,880.50
  4. Step 4: Simplify right side
    37,584.66x = 557,032,849.70
  5. Step 5: Solve for x
    x = 557,032,849.70/37,584.66
  6. Step 6: Final answer
    x = 14,820.75

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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.