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Finding the Fourth Proportional to 34,039.50, 51,028.13 and 14,319.45

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Solution

The fourth proportional to 34,039.50, 51,028.13 and 14,319.45 is: 21,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,039.50 : 51,028.13 = 14,319.45 : x
  2. Step 2: Convert to fraction form
    34,039.50/51,028.13 = 14,319.45/x
  3. Step 3: Cross multiply
    34,039.50x = 51,028.13 × 14,319.45
  4. Step 4: Simplify right side
    34,039.50x = 730,694,684.53
  5. Step 5: Solve for x
    x = 730,694,684.53/34,039.50
  6. Step 6: Final answer
    x = 21,466.08

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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.