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Finding the Fourth Proportional to 70,534.89, 105,843.71 and 26,192.43

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Solution

The fourth proportional to 70,534.89, 105,843.71 and 26,192.43 is: 39,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,534.89 : 105,843.71 = 26,192.43 : x
  2. Step 2: Convert to fraction form
    70,534.89/105,843.71 = 26,192.43/x
  3. Step 3: Cross multiply
    70,534.89x = 105,843.71 × 26,192.43
  4. Step 4: Simplify right side
    70,534.89x = 2,772,303,965.12
  5. Step 5: Solve for x
    x = 2,772,303,965.12/70,534.89
  6. Step 6: Final answer
    x = 39,304.01

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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.