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Finding the Fourth Proportional to 32,767.86, 45,220.29 and 17,863.86

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Solution

The fourth proportional to 32,767.86, 45,220.29 and 17,863.86 is: 24,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.86 : 45,220.29 = 17,863.86 : x
  2. Step 2: Convert to fraction form
    32,767.86/45,220.29 = 17,863.86/x
  3. Step 3: Cross multiply
    32,767.86x = 45,220.29 × 17,863.86
  4. Step 4: Simplify right side
    32,767.86x = 807,808,929.72
  5. Step 5: Solve for x
    x = 807,808,929.72/32,767.86
  6. Step 6: Final answer
    x = 24,652.48

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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.