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Finding the Fourth Proportional to 37,661.70, 56,492.29 and 9,581.50

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Solution

The fourth proportional to 37,661.70, 56,492.29 and 9,581.50 is: 14,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661.70 : 56,492.29 = 9,581.50 : x
  2. Step 2: Convert to fraction form
    37,661.70/56,492.29 = 9,581.50/x
  3. Step 3: Cross multiply
    37,661.70x = 56,492.29 × 9,581.50
  4. Step 4: Simplify right side
    37,661.70x = 541,280,876.64
  5. Step 5: Solve for x
    x = 541,280,876.64/37,661.70
  6. Step 6: Final answer
    x = 14,372.18

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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.