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Finding the Fourth Proportional to 34,118.14, 51,129.18 and 13,035.46

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Solution

The fourth proportional to 34,118.14, 51,129.18 and 13,035.46 is: 19,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,118.14 : 51,129.18 = 13,035.46 : x
  2. Step 2: Convert to fraction form
    34,118.14/51,129.18 = 13,035.46/x
  3. Step 3: Cross multiply
    34,118.14x = 51,129.18 × 13,035.46
  4. Step 4: Simplify right side
    34,118.14x = 666,492,380.72
  5. Step 5: Solve for x
    x = 666,492,380.72/34,118.14
  6. Step 6: Final answer
    x = 19,534.84

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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.