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Finding the Fourth Proportional to 32,006, 44,168.34 and 17,859.68

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Solution

The fourth proportional to 32,006, 44,168.34 and 17,859.68 is: 24,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006 : 44,168.34 = 17,859.68 : x
  2. Step 2: Convert to fraction form
    32,006/44,168.34 = 17,859.68/x
  3. Step 3: Cross multiply
    32,006x = 44,168.34 × 17,859.68
  4. Step 4: Simplify right side
    32,006x = 788,832,418.53
  5. Step 5: Solve for x
    x = 788,832,418.53/32,006
  6. Step 6: Final answer
    x = 24,646.39

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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.