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Finding the Fourth Proportional to 51,866.06, 77,806.17 and 18,595.31

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Solution

The fourth proportional to 51,866.06, 77,806.17 and 18,595.31 is: 27,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,866.06 : 77,806.17 = 18,595.31 : x
  2. Step 2: Convert to fraction form
    51,866.06/77,806.17 = 18,595.31/x
  3. Step 3: Cross multiply
    51,866.06x = 77,806.17 × 18,595.31
  4. Step 4: Simplify right side
    51,866.06x = 1,446,829,462.03
  5. Step 5: Solve for x
    x = 1,446,829,462.03/51,866.06
  6. Step 6: Final answer
    x = 27,895.50

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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.