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Finding the Fourth Proportional to 37,582.72, 56,376.96 and 9,880

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Solution

The fourth proportional to 37,582.72, 56,376.96 and 9,880 is: 14,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,582.72 : 56,376.96 = 9,880 : x
  2. Step 2: Convert to fraction form
    37,582.72/56,376.96 = 9,880/x
  3. Step 3: Cross multiply
    37,582.72x = 56,376.96 × 9,880
  4. Step 4: Simplify right side
    37,582.72x = 557,004,364.80
  5. Step 5: Solve for x
    x = 557,004,364.80/37,582.72
  6. Step 6: Final answer
    x = 14,820.76

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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.