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Finding the Fourth Proportional to 52,496.24, 78,655.26 and 31,676

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Solution

The fourth proportional to 52,496.24, 78,655.26 and 31,676 is: 47,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,496.24 : 78,655.26 = 31,676 : x
  2. Step 2: Convert to fraction form
    52,496.24/78,655.26 = 31,676/x
  3. Step 3: Cross multiply
    52,496.24x = 78,655.26 × 31,676
  4. Step 4: Simplify right side
    52,496.24x = 2,491,484,015.76
  5. Step 5: Solve for x
    x = 2,491,484,015.76/52,496.24
  6. Step 6: Final answer
    x = 47,460.24

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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.