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Finding the Fourth Proportional to 27,407.56, 41,048.38 and 17,411.56

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Solution

The fourth proportional to 27,407.56, 41,048.38 and 17,411.56 is: 26,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.56 : 41,048.38 = 17,411.56 : x
  2. Step 2: Convert to fraction form
    27,407.56/41,048.38 = 17,411.56/x
  3. Step 3: Cross multiply
    27,407.56x = 41,048.38 × 17,411.56
  4. Step 4: Simplify right side
    27,407.56x = 714,716,331.27
  5. Step 5: Solve for x
    x = 714,716,331.27/27,407.56
  6. Step 6: Final answer
    x = 26,077.34

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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.