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Finding the Fourth Proportional to 27,996.52, 42,009.36 and 12,410.50

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Solution

The fourth proportional to 27,996.52, 42,009.36 and 12,410.50 is: 18,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.52 : 42,009.36 = 12,410.50 : x
  2. Step 2: Convert to fraction form
    27,996.52/42,009.36 = 12,410.50/x
  3. Step 3: Cross multiply
    27,996.52x = 42,009.36 × 12,410.50
  4. Step 4: Simplify right side
    27,996.52x = 521,357,162.28
  5. Step 5: Solve for x
    x = 521,357,162.28/27,996.52
  6. Step 6: Final answer
    x = 18,622.21

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1.5x scale

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.