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Finding the Fourth Proportional to 32,415.75, 44,733.74 and 17,511.75

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Solution

The fourth proportional to 32,415.75, 44,733.74 and 17,511.75 is: 24,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.75 : 44,733.74 = 17,511.75 : x
  2. Step 2: Convert to fraction form
    32,415.75/44,733.74 = 17,511.75/x
  3. Step 3: Cross multiply
    32,415.75x = 44,733.74 × 17,511.75
  4. Step 4: Simplify right side
    32,415.75x = 783,365,983.89
  5. Step 5: Solve for x
    x = 783,365,983.89/32,415.75
  6. Step 6: Final answer
    x = 24,166.22

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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.