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Finding the Fourth Proportional to 70,583.84, 105,869.20 and 23,837.12

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Solution

The fourth proportional to 70,583.84, 105,869.20 and 23,837.12 is: 35,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,583.84 : 105,869.20 = 23,837.12 : x
  2. Step 2: Convert to fraction form
    70,583.84/105,869.20 = 23,837.12/x
  3. Step 3: Cross multiply
    70,583.84x = 105,869.20 × 23,837.12
  4. Step 4: Simplify right side
    70,583.84x = 2,523,616,824.70
  5. Step 5: Solve for x
    x = 2,523,616,824.70/70,583.84
  6. Step 6: Final answer
    x = 35,753.46

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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.