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Finding the Fourth Proportional to 70,283.52, 105,426 and 23,536.80

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Solution

The fourth proportional to 70,283.52, 105,426 and 23,536.80 is: 35,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,283.52 : 105,426 = 23,536.80 : x
  2. Step 2: Convert to fraction form
    70,283.52/105,426 = 23,536.80/x
  3. Step 3: Cross multiply
    70,283.52x = 105,426 × 23,536.80
  4. Step 4: Simplify right side
    70,283.52x = 2,481,390,676.80
  5. Step 5: Solve for x
    x = 2,481,390,676.80/70,283.52
  6. Step 6: Final answer
    x = 35,305.44

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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.