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Finding the Fourth Proportional to 44,994.48, 67,492.80 and 13,830

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Solution

The fourth proportional to 44,994.48, 67,492.80 and 13,830 is: 20,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,994.48 : 67,492.80 = 13,830 : x
  2. Step 2: Convert to fraction form
    44,994.48/67,492.80 = 13,830/x
  3. Step 3: Cross multiply
    44,994.48x = 67,492.80 × 13,830
  4. Step 4: Simplify right side
    44,994.48x = 933,425,424
  5. Step 5: Solve for x
    x = 933,425,424/44,994.48
  6. Step 6: Final answer
    x = 20,745.33

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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.