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Finding the Fourth Proportional to 56,249, 84,378.36 and 14,696

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Solution

The fourth proportional to 56,249, 84,378.36 and 14,696 is: 22,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,249 : 84,378.36 = 14,696 : x
  2. Step 2: Convert to fraction form
    56,249/84,378.36 = 14,696/x
  3. Step 3: Cross multiply
    56,249x = 84,378.36 × 14,696
  4. Step 4: Simplify right side
    56,249x = 1,240,024,378.56
  5. Step 5: Solve for x
    x = 1,240,024,378.56/56,249
  6. Step 6: Final answer
    x = 22,045.27

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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.