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Finding the Fourth Proportional to 37,492.50, 56,246.31 and 16,716

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Solution

The fourth proportional to 37,492.50, 56,246.31 and 16,716 is: 25,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,492.50 : 56,246.31 = 16,716 : x
  2. Step 2: Convert to fraction form
    37,492.50/56,246.31 = 16,716/x
  3. Step 3: Cross multiply
    37,492.50x = 56,246.31 × 16,716
  4. Step 4: Simplify right side
    37,492.50x = 940,213,317.96
  5. Step 5: Solve for x
    x = 940,213,317.96/37,492.50
  6. Step 6: Final answer
    x = 25,077.37

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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.