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Finding the Fourth Proportional to 40,413, 55,761.48 and 23,416.26

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Solution

The fourth proportional to 40,413, 55,761.48 and 23,416.26 is: 32,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,413 : 55,761.48 = 23,416.26 : x
  2. Step 2: Convert to fraction form
    40,413/55,761.48 = 23,416.26/x
  3. Step 3: Cross multiply
    40,413x = 55,761.48 × 23,416.26
  4. Step 4: Simplify right side
    40,413x = 1,305,725,313.66
  5. Step 5: Solve for x
    x = 1,305,725,313.66/40,413
  6. Step 6: Final answer
    x = 32,309.54

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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.