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Finding the Fourth Proportional to 34,085.52, 51,133.16 and 10,713.80

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Solution

The fourth proportional to 34,085.52, 51,133.16 and 10,713.80 is: 16,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.52 : 51,133.16 = 10,713.80 : x
  2. Step 2: Convert to fraction form
    34,085.52/51,133.16 = 10,713.80/x
  3. Step 3: Cross multiply
    34,085.52x = 51,133.16 × 10,713.80
  4. Step 4: Simplify right side
    34,085.52x = 547,830,449.61
  5. Step 5: Solve for x
    x = 547,830,449.61/34,085.52
  6. Step 6: Final answer
    x = 16,072.23

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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.