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Finding the Fourth Proportional to 37,661.77, 56,492.99 and 9,581.86

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Solution

The fourth proportional to 37,661.77, 56,492.99 and 9,581.86 is: 14,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661.77 : 56,492.99 = 9,581.86 : x
  2. Step 2: Convert to fraction form
    37,661.77/56,492.99 = 9,581.86/x
  3. Step 3: Cross multiply
    37,661.77x = 56,492.99 × 9,581.86
  4. Step 4: Simplify right side
    37,661.77x = 541,307,921.16
  5. Step 5: Solve for x
    x = 541,307,921.16/37,661.77
  6. Step 6: Final answer
    x = 14,372.88

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Why These Related Problems?

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