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Finding the Fourth Proportional to 86,014.10, 129,021.15 and 22,834.10

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Solution

The fourth proportional to 86,014.10, 129,021.15 and 22,834.10 is: 34,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,014.10 : 129,021.15 = 22,834.10 : x
  2. Step 2: Convert to fraction form
    86,014.10/129,021.15 = 22,834.10/x
  3. Step 3: Cross multiply
    86,014.10x = 129,021.15 × 22,834.10
  4. Step 4: Simplify right side
    86,014.10x = 2,946,081,841.22
  5. Step 5: Solve for x
    x = 2,946,081,841.22/86,014.10
  6. Step 6: Final answer
    x = 34,251.15

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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.