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Finding the Fourth Proportional to 34,272.60, 51,418.74 and 14,278.20

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Solution

The fourth proportional to 34,272.60, 51,418.74 and 14,278.20 is: 21,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,272.60 : 51,418.74 = 14,278.20 : x
  2. Step 2: Convert to fraction form
    34,272.60/51,418.74 = 14,278.20/x
  3. Step 3: Cross multiply
    34,272.60x = 51,418.74 × 14,278.20
  4. Step 4: Simplify right side
    34,272.60x = 734,167,053.47
  5. Step 5: Solve for x
    x = 734,167,053.47/34,272.60
  6. Step 6: Final answer
    x = 21,421.40

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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.