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Finding the Fourth Proportional to 34,090.17, 51,142.19 and 14,368.69

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Solution

The fourth proportional to 34,090.17, 51,142.19 and 14,368.69 is: 21,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090.17 : 51,142.19 = 14,368.69 : x
  2. Step 2: Convert to fraction form
    34,090.17/51,142.19 = 14,368.69/x
  3. Step 3: Cross multiply
    34,090.17x = 51,142.19 × 14,368.69
  4. Step 4: Simplify right side
    34,090.17x = 734,846,266.12
  5. Step 5: Solve for x
    x = 734,846,266.12/34,090.17
  6. Step 6: Final answer
    x = 21,555.96

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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.