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Finding the Fourth Proportional to 83,530, 115,271.42 and 45,805.06

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Solution

The fourth proportional to 83,530, 115,271.42 and 45,805.06 is: 63,210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,530 : 115,271.42 = 45,805.06 : x
  2. Step 2: Convert to fraction form
    83,530/115,271.42 = 45,805.06/x
  3. Step 3: Cross multiply
    83,530x = 115,271.42 × 45,805.06
  4. Step 4: Simplify right side
    83,530x = 5,280,014,309.39
  5. Step 5: Solve for x
    x = 5,280,014,309.39/83,530
  6. Step 6: Final answer
    x = 63,210.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.