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Finding the Fourth Proportional to 34,701.80, 52,061.10 and 10,077.80

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Solution

The fourth proportional to 34,701.80, 52,061.10 and 10,077.80 is: 15,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701.80 : 52,061.10 = 10,077.80 : x
  2. Step 2: Convert to fraction form
    34,701.80/52,061.10 = 10,077.80/x
  3. Step 3: Cross multiply
    34,701.80x = 52,061.10 × 10,077.80
  4. Step 4: Simplify right side
    34,701.80x = 524,661,353.58
  5. Step 5: Solve for x
    x = 524,661,353.58/34,701.80
  6. Step 6: Final answer
    x = 15,119.14

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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.