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Finding the Fourth Proportional to 51,706.99, 77,564.73 and 22,125.13

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Solution

The fourth proportional to 51,706.99, 77,564.73 and 22,125.13 is: 33,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,706.99 : 77,564.73 = 22,125.13 : x
  2. Step 2: Convert to fraction form
    51,706.99/77,564.73 = 22,125.13/x
  3. Step 3: Cross multiply
    51,706.99x = 77,564.73 × 22,125.13
  4. Step 4: Simplify right side
    51,706.99x = 1,716,129,734.66
  5. Step 5: Solve for x
    x = 1,716,129,734.66/51,706.99
  6. Step 6: Final answer
    x = 33,189.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.