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Finding the Fourth Proportional to 30,005.80, 41,408.10 and 16,577.80

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Solution

The fourth proportional to 30,005.80, 41,408.10 and 16,577.80 is: 22,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.80 : 41,408.10 = 16,577.80 : x
  2. Step 2: Convert to fraction form
    30,005.80/41,408.10 = 16,577.80/x
  3. Step 3: Cross multiply
    30,005.80x = 41,408.10 × 16,577.80
  4. Step 4: Simplify right side
    30,005.80x = 686,455,200.18
  5. Step 5: Solve for x
    x = 686,455,200.18/30,005.80
  6. Step 6: Final answer
    x = 22,877.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.