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Finding the Fourth Proportional to 34,560.42, 51,840.54 and 13,798.50

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Solution

The fourth proportional to 34,560.42, 51,840.54 and 13,798.50 is: 20,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,560.42 : 51,840.54 = 13,798.50 : x
  2. Step 2: Convert to fraction form
    34,560.42/51,840.54 = 13,798.50/x
  3. Step 3: Cross multiply
    34,560.42x = 51,840.54 × 13,798.50
  4. Step 4: Simplify right side
    34,560.42x = 715,321,691.19
  5. Step 5: Solve for x
    x = 715,321,691.19/34,560.42
  6. Step 6: Final answer
    x = 20,697.71

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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.