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Finding the Fourth Proportional to 32,259.84, 48,408.56 and 13,538.44

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Solution

The fourth proportional to 32,259.84, 48,408.56 and 13,538.44 is: 20,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,259.84 : 48,408.56 = 13,538.44 : x
  2. Step 2: Convert to fraction form
    32,259.84/48,408.56 = 13,538.44/x
  3. Step 3: Cross multiply
    32,259.84x = 48,408.56 × 13,538.44
  4. Step 4: Simplify right side
    32,259.84x = 655,376,466.71
  5. Step 5: Solve for x
    x = 655,376,466.71/32,259.84
  6. Step 6: Final answer
    x = 20,315.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.