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Finding the Fourth Proportional to 30,577.45, 42,178.98 and 19,228.99

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Solution

The fourth proportional to 30,577.45, 42,178.98 and 19,228.99 is: 26,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.45 : 42,178.98 = 19,228.99 : x
  2. Step 2: Convert to fraction form
    30,577.45/42,178.98 = 19,228.99/x
  3. Step 3: Cross multiply
    30,577.45x = 42,178.98 × 19,228.99
  4. Step 4: Simplify right side
    30,577.45x = 811,059,184.63
  5. Step 5: Solve for x
    x = 811,059,184.63/30,577.45
  6. Step 6: Final answer
    x = 26,524.75

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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.