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Finding the Fourth Proportional to 32,536.62, 48,799.26 and 9,157.50

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Solution

The fourth proportional to 32,536.62, 48,799.26 and 9,157.50 is: 13,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536.62 : 48,799.26 = 9,157.50 : x
  2. Step 2: Convert to fraction form
    32,536.62/48,799.26 = 9,157.50/x
  3. Step 3: Cross multiply
    32,536.62x = 48,799.26 × 9,157.50
  4. Step 4: Simplify right side
    32,536.62x = 446,879,223.45
  5. Step 5: Solve for x
    x = 446,879,223.45/32,536.62
  6. Step 6: Final answer
    x = 13,734.65

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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.