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Finding the Fourth Proportional to 30,564.56, 45,835.89 and 16,534.95

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Solution

The fourth proportional to 30,564.56, 45,835.89 and 16,534.95 is: 24,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.56 : 45,835.89 = 16,534.95 : x
  2. Step 2: Convert to fraction form
    30,564.56/45,835.89 = 16,534.95/x
  3. Step 3: Cross multiply
    30,564.56x = 45,835.89 × 16,534.95
  4. Step 4: Simplify right side
    30,564.56x = 757,894,149.36
  5. Step 5: Solve for x
    x = 757,894,149.36/30,564.56
  6. Step 6: Final answer
    x = 24,796.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.