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Finding the Fourth Proportional to 32,203.84, 44,443.88 and 17,865.09

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Solution

The fourth proportional to 32,203.84, 44,443.88 and 17,865.09 is: 24,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.84 : 44,443.88 = 17,865.09 : x
  2. Step 2: Convert to fraction form
    32,203.84/44,443.88 = 17,865.09/x
  3. Step 3: Cross multiply
    32,203.84x = 44,443.88 × 17,865.09
  4. Step 4: Simplify right side
    32,203.84x = 793,993,849.70
  5. Step 5: Solve for x
    x = 793,993,849.70/32,203.84
  6. Step 6: Final answer
    x = 24,655.25

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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.