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Finding the Fourth Proportional to 32,103.86, 48,145.98 and 11,322.50

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Solution

The fourth proportional to 32,103.86, 48,145.98 and 11,322.50 is: 16,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.86 : 48,145.98 = 11,322.50 : x
  2. Step 2: Convert to fraction form
    32,103.86/48,145.98 = 11,322.50/x
  3. Step 3: Cross multiply
    32,103.86x = 48,145.98 × 11,322.50
  4. Step 4: Simplify right side
    32,103.86x = 545,132,858.55
  5. Step 5: Solve for x
    x = 545,132,858.55/32,103.86
  6. Step 6: Final answer
    x = 16,980.29

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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.