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Finding the Fourth Proportional to 30,005.34, 41,409.79 and 16,577.77

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Solution

The fourth proportional to 30,005.34, 41,409.79 and 16,577.77 is: 22,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.34 : 41,409.79 = 16,577.77 : x
  2. Step 2: Convert to fraction form
    30,005.34/41,409.79 = 16,577.77/x
  3. Step 3: Cross multiply
    30,005.34x = 41,409.79 × 16,577.77
  4. Step 4: Simplify right side
    30,005.34x = 686,481,767.32
  5. Step 5: Solve for x
    x = 686,481,767.32/30,005.34
  6. Step 6: Final answer
    x = 22,878.65

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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.