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Finding the Fourth Proportional to 30,302.40, 45,474.40 and 10,580.96

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Solution

The fourth proportional to 30,302.40, 45,474.40 and 10,580.96 is: 15,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.40 : 45,474.40 = 10,580.96 : x
  2. Step 2: Convert to fraction form
    30,302.40/45,474.40 = 10,580.96/x
  3. Step 3: Cross multiply
    30,302.40x = 45,474.40 × 10,580.96
  4. Step 4: Simplify right side
    30,302.40x = 481,162,807.42
  5. Step 5: Solve for x
    x = 481,162,807.42/30,302.40
  6. Step 6: Final answer
    x = 15,878.70

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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.