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Finding the Fourth Proportional to 70,422.30, 105,622.41 and 23,037

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Solution

The fourth proportional to 70,422.30, 105,622.41 and 23,037 is: 34,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422.30 : 105,622.41 = 23,037 : x
  2. Step 2: Convert to fraction form
    70,422.30/105,622.41 = 23,037/x
  3. Step 3: Cross multiply
    70,422.30x = 105,622.41 × 23,037
  4. Step 4: Simplify right side
    70,422.30x = 2,433,223,459.17
  5. Step 5: Solve for x
    x = 2,433,223,459.17/70,422.30
  6. Step 6: Final answer
    x = 34,551.89

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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.