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Finding the Fourth Proportional to 34,114.14, 51,178.10 and 10,735.11

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Solution

The fourth proportional to 34,114.14, 51,178.10 and 10,735.11 is: 16,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.14 : 51,178.10 = 10,735.11 : x
  2. Step 2: Convert to fraction form
    34,114.14/51,178.10 = 10,735.11/x
  3. Step 3: Cross multiply
    34,114.14x = 51,178.10 × 10,735.11
  4. Step 4: Simplify right side
    34,114.14x = 549,402,479.42
  5. Step 5: Solve for x
    x = 549,402,479.42/34,114.14
  6. Step 6: Final answer
    x = 16,104.83

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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.