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Finding the Fourth Proportional to 32,584.22, 44,965.74 and 19,157

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Solution

The fourth proportional to 32,584.22, 44,965.74 and 19,157 is: 26,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.22 : 44,965.74 = 19,157 : x
  2. Step 2: Convert to fraction form
    32,584.22/44,965.74 = 19,157/x
  3. Step 3: Cross multiply
    32,584.22x = 44,965.74 × 19,157
  4. Step 4: Simplify right side
    32,584.22x = 861,408,681.18
  5. Step 5: Solve for x
    x = 861,408,681.18/32,584.22
  6. Step 6: Final answer
    x = 26,436.38

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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.