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Finding the Fourth Proportional to 34,281.52, 51,430 and 12,096.48

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Solution

The fourth proportional to 34,281.52, 51,430 and 12,096.48 is: 18,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,281.52 : 51,430 = 12,096.48 : x
  2. Step 2: Convert to fraction form
    34,281.52/51,430 = 12,096.48/x
  3. Step 3: Cross multiply
    34,281.52x = 51,430 × 12,096.48
  4. Step 4: Simplify right side
    34,281.52x = 622,121,966.40
  5. Step 5: Solve for x
    x = 622,121,966.40/34,281.52
  6. Step 6: Final answer
    x = 18,147.44

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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.