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Finding the Fourth Proportional to 78,049.84, 117,074.77 and 18,885.51

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Solution

The fourth proportional to 78,049.84, 117,074.77 and 18,885.51 is: 28,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,049.84 : 117,074.77 = 18,885.51 : x
  2. Step 2: Convert to fraction form
    78,049.84/117,074.77 = 18,885.51/x
  3. Step 3: Cross multiply
    78,049.84x = 117,074.77 × 18,885.51
  4. Step 4: Simplify right side
    78,049.84x = 2,211,016,911.88
  5. Step 5: Solve for x
    x = 2,211,016,911.88/78,049.84
  6. Step 6: Final answer
    x = 28,328.27

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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.