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Finding the Fourth Proportional to 32,271, 48,408.33 and 11,494.50

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Solution

The fourth proportional to 32,271, 48,408.33 and 11,494.50 is: 17,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271 : 48,408.33 = 11,494.50 : x
  2. Step 2: Convert to fraction form
    32,271/48,408.33 = 11,494.50/x
  3. Step 3: Cross multiply
    32,271x = 48,408.33 × 11,494.50
  4. Step 4: Simplify right side
    32,271x = 556,429,549.19
  5. Step 5: Solve for x
    x = 556,429,549.19/32,271
  6. Step 6: Final answer
    x = 17,242.40

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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.