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Finding the Fourth Proportional to 30,474.20, 45,715.86 and 9,702.36

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Solution

The fourth proportional to 30,474.20, 45,715.86 and 9,702.36 is: 14,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.20 : 45,715.86 = 9,702.36 : x
  2. Step 2: Convert to fraction form
    30,474.20/45,715.86 = 9,702.36/x
  3. Step 3: Cross multiply
    30,474.20x = 45,715.86 × 9,702.36
  4. Step 4: Simplify right side
    30,474.20x = 443,551,731.43
  5. Step 5: Solve for x
    x = 443,551,731.43/30,474.20
  6. Step 6: Final answer
    x = 14,554.99

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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.