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Finding the Fourth Proportional to 103,284.57, 154,929.99 and 32,209.77

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Solution

The fourth proportional to 103,284.57, 154,929.99 and 32,209.77 is: 48,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284.57 : 154,929.99 = 32,209.77 : x
  2. Step 2: Convert to fraction form
    103,284.57/154,929.99 = 32,209.77/x
  3. Step 3: Cross multiply
    103,284.57x = 154,929.99 × 32,209.77
  4. Step 4: Simplify right side
    103,284.57x = 4,990,259,344.00
  5. Step 5: Solve for x
    x = 4,990,259,344.00/103,284.57
  6. Step 6: Final answer
    x = 48,315.63

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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.