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Finding the Fourth Proportional to 51,606.74, 77,409.38 and 14,166.77

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Solution

The fourth proportional to 51,606.74, 77,409.38 and 14,166.77 is: 21,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,606.74 : 77,409.38 = 14,166.77 : x
  2. Step 2: Convert to fraction form
    51,606.74/77,409.38 = 14,166.77/x
  3. Step 3: Cross multiply
    51,606.74x = 77,409.38 × 14,166.77
  4. Step 4: Simplify right side
    51,606.74x = 1,096,640,424.42
  5. Step 5: Solve for x
    x = 1,096,640,424.42/51,606.74
  6. Step 6: Final answer
    x = 21,249.95

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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.