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Finding the Fourth Proportional to 29,835.40, 41,173.48 and 16,407.22

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Solution

The fourth proportional to 29,835.40, 41,173.48 and 16,407.22 is: 22,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.40 : 41,173.48 = 16,407.22 : x
  2. Step 2: Convert to fraction form
    29,835.40/41,173.48 = 16,407.22/x
  3. Step 3: Cross multiply
    29,835.40x = 41,173.48 × 16,407.22
  4. Step 4: Simplify right side
    29,835.40x = 675,542,344.53
  5. Step 5: Solve for x
    x = 675,542,344.53/29,835.40
  6. Step 6: Final answer
    x = 22,642.31

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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.