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Finding the Fourth Proportional to 30,772.23, 46,158.34 and 7,398.67

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Solution

The fourth proportional to 30,772.23, 46,158.34 and 7,398.67 is: 11,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.23 : 46,158.34 = 7,398.67 : x
  2. Step 2: Convert to fraction form
    30,772.23/46,158.34 = 7,398.67/x
  3. Step 3: Cross multiply
    30,772.23x = 46,158.34 × 7,398.67
  4. Step 4: Simplify right side
    30,772.23x = 341,510,325.41
  5. Step 5: Solve for x
    x = 341,510,325.41/30,772.23
  6. Step 6: Final answer
    x = 11,098.00

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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.