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Finding the Fourth Proportional to 70,536.42, 105,812.66 and 25,578.96

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Solution

The fourth proportional to 70,536.42, 105,812.66 and 25,578.96 is: 38,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,536.42 : 105,812.66 = 25,578.96 : x
  2. Step 2: Convert to fraction form
    70,536.42/105,812.66 = 25,578.96/x
  3. Step 3: Cross multiply
    70,536.42x = 105,812.66 × 25,578.96
  4. Step 4: Simplify right side
    70,536.42x = 2,706,577,797.63
  5. Step 5: Solve for x
    x = 2,706,577,797.63/70,536.42
  6. Step 6: Final answer
    x = 38,371.35

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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.