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Finding the Fourth Proportional to 32,203.24, 44,442.78 and 17,863.78

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Solution

The fourth proportional to 32,203.24, 44,442.78 and 17,863.78 is: 24,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.24 : 44,442.78 = 17,863.78 : x
  2. Step 2: Convert to fraction form
    32,203.24/44,442.78 = 17,863.78/x
  3. Step 3: Cross multiply
    32,203.24x = 44,442.78 × 17,863.78
  4. Step 4: Simplify right side
    32,203.24x = 793,916,044.51
  5. Step 5: Solve for x
    x = 793,916,044.51/32,203.24
  6. Step 6: Final answer
    x = 24,653.30

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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.