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Finding the Fourth Proportional to 32,651.88, 48,985.02 and 10,467.50

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Solution

The fourth proportional to 32,651.88, 48,985.02 and 10,467.50 is: 15,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,651.88 : 48,985.02 = 10,467.50 : x
  2. Step 2: Convert to fraction form
    32,651.88/48,985.02 = 10,467.50/x
  3. Step 3: Cross multiply
    32,651.88x = 48,985.02 × 10,467.50
  4. Step 4: Simplify right side
    32,651.88x = 512,750,451.92
  5. Step 5: Solve for x
    x = 512,750,451.92/32,651.88
  6. Step 6: Final answer
    x = 15,703.55

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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.