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Finding the Fourth Proportional to 34,020.84, 51,034.14 and 9,060.90

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Solution

The fourth proportional to 34,020.84, 51,034.14 and 9,060.90 is: 13,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020.84 : 51,034.14 = 9,060.90 : x
  2. Step 2: Convert to fraction form
    34,020.84/51,034.14 = 9,060.90/x
  3. Step 3: Cross multiply
    34,020.84x = 51,034.14 × 9,060.90
  4. Step 4: Simplify right side
    34,020.84x = 462,415,239.13
  5. Step 5: Solve for x
    x = 462,415,239.13/34,020.84
  6. Step 6: Final answer
    x = 13,592.12

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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.