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Finding the Fourth Proportional to 70,083.81, 105,152.85 and 25,741.17

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Solution

The fourth proportional to 70,083.81, 105,152.85 and 25,741.17 is: 38,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,083.81 : 105,152.85 = 25,741.17 : x
  2. Step 2: Convert to fraction form
    70,083.81/105,152.85 = 25,741.17/x
  3. Step 3: Cross multiply
    70,083.81x = 105,152.85 × 25,741.17
  4. Step 4: Simplify right side
    70,083.81x = 2,706,757,387.83
  5. Step 5: Solve for x
    x = 2,706,757,387.83/70,083.81
  6. Step 6: Final answer
    x = 38,621.72

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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.