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Finding the Fourth Proportional to 32,038.84, 44,213.16 and 18,617.68

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Solution

The fourth proportional to 32,038.84, 44,213.16 and 18,617.68 is: 25,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.84 : 44,213.16 = 18,617.68 : x
  2. Step 2: Convert to fraction form
    32,038.84/44,213.16 = 18,617.68/x
  3. Step 3: Cross multiply
    32,038.84x = 44,213.16 × 18,617.68
  4. Step 4: Simplify right side
    32,038.84x = 823,146,464.67
  5. Step 5: Solve for x
    x = 823,146,464.67/32,038.84
  6. Step 6: Final answer
    x = 25,692.14

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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.