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Finding the Fourth Proportional to 27,137.64, 37,446.42 and 15,203.16

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Solution

The fourth proportional to 27,137.64, 37,446.42 and 15,203.16 is: 20,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.64 : 37,446.42 = 15,203.16 : x
  2. Step 2: Convert to fraction form
    27,137.64/37,446.42 = 15,203.16/x
  3. Step 3: Cross multiply
    27,137.64x = 37,446.42 × 15,203.16
  4. Step 4: Simplify right side
    27,137.64x = 569,303,914.69
  5. Step 5: Solve for x
    x = 569,303,914.69/27,137.64
  6. Step 6: Final answer
    x = 20,978.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.