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Finding the Fourth Proportional to 51,773.94, 77,661.02 and 14,334.12

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Solution

The fourth proportional to 51,773.94, 77,661.02 and 14,334.12 is: 21,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.94 : 77,661.02 = 14,334.12 : x
  2. Step 2: Convert to fraction form
    51,773.94/77,661.02 = 14,334.12/x
  3. Step 3: Cross multiply
    51,773.94x = 77,661.02 × 14,334.12
  4. Step 4: Simplify right side
    51,773.94x = 1,113,202,380.00
  5. Step 5: Solve for x
    x = 1,113,202,380.00/51,773.94
  6. Step 6: Final answer
    x = 21,501.21

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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.