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Finding the Fourth Proportional to 30,190.64, 45,285.96 and 9,415.76

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Solution

The fourth proportional to 30,190.64, 45,285.96 and 9,415.76 is: 14,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,190.64 : 45,285.96 = 9,415.76 : x
  2. Step 2: Convert to fraction form
    30,190.64/45,285.96 = 9,415.76/x
  3. Step 3: Cross multiply
    30,190.64x = 45,285.96 × 9,415.76
  4. Step 4: Simplify right side
    30,190.64x = 426,401,730.73
  5. Step 5: Solve for x
    x = 426,401,730.73/30,190.64
  6. Step 6: Final answer
    x = 14,123.64

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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.