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Finding the Fourth Proportional to 32,841.44, 45,322.26 and 17,937.44

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Solution

The fourth proportional to 32,841.44, 45,322.26 and 17,937.44 is: 24,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.44 : 45,322.26 = 17,937.44 : x
  2. Step 2: Convert to fraction form
    32,841.44/45,322.26 = 17,937.44/x
  3. Step 3: Cross multiply
    32,841.44x = 45,322.26 × 17,937.44
  4. Step 4: Simplify right side
    32,841.44x = 812,965,319.41
  5. Step 5: Solve for x
    x = 812,965,319.41/32,841.44
  6. Step 6: Final answer
    x = 24,754.25

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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.