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Finding the Fourth Proportional to 51,603.50, 77,406.21 and 14,668.46

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Solution

The fourth proportional to 51,603.50, 77,406.21 and 14,668.46 is: 22,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603.50 : 77,406.21 = 14,668.46 : x
  2. Step 2: Convert to fraction form
    51,603.50/77,406.21 = 14,668.46/x
  3. Step 3: Cross multiply
    51,603.50x = 77,406.21 × 14,668.46
  4. Step 4: Simplify right side
    51,603.50x = 1,135,429,895.14
  5. Step 5: Solve for x
    x = 1,135,429,895.14/51,603.50
  6. Step 6: Final answer
    x = 22,002.96

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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.