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Finding the Fourth Proportional to 51,806.05, 77,709.08 and 14,366.05

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Solution

The fourth proportional to 51,806.05, 77,709.08 and 14,366.05 is: 21,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.05 : 77,709.08 = 14,366.05 : x
  2. Step 2: Convert to fraction form
    51,806.05/77,709.08 = 14,366.05/x
  3. Step 3: Cross multiply
    51,806.05x = 77,709.08 × 14,366.05
  4. Step 4: Simplify right side
    51,806.05x = 1,116,372,456.90
  5. Step 5: Solve for x
    x = 1,116,372,456.90/51,806.05
  6. Step 6: Final answer
    x = 21,549.08

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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.