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Finding the Fourth Proportional to 105,643.01, 158,454.97 and 39,083.69

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Solution

The fourth proportional to 105,643.01, 158,454.97 and 39,083.69 is: 58,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,643.01 : 158,454.97 = 39,083.69 : x
  2. Step 2: Convert to fraction form
    105,643.01/158,454.97 = 39,083.69/x
  3. Step 3: Cross multiply
    105,643.01x = 158,454.97 × 39,083.69
  4. Step 4: Simplify right side
    105,643.01x = 6,193,004,926.44
  5. Step 5: Solve for x
    x = 6,193,004,926.44/105,643.01
  6. Step 6: Final answer
    x = 58,622.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.