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Finding the Fourth Proportional to 32,102.22, 44,300.22 and 17,761.68

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Solution

The fourth proportional to 32,102.22, 44,300.22 and 17,761.68 is: 24,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.22 : 44,300.22 = 17,761.68 : x
  2. Step 2: Convert to fraction form
    32,102.22/44,300.22 = 17,761.68/x
  3. Step 3: Cross multiply
    32,102.22x = 44,300.22 × 17,761.68
  4. Step 4: Simplify right side
    32,102.22x = 786,846,264.96
  5. Step 5: Solve for x
    x = 786,846,264.96/32,102.22
  6. Step 6: Final answer
    x = 24,510.65

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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.