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Finding the Fourth Proportional to 30,802.24, 46,207.90 and 9,737.52

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Solution

The fourth proportional to 30,802.24, 46,207.90 and 9,737.52 is: 14,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.24 : 46,207.90 = 9,737.52 : x
  2. Step 2: Convert to fraction form
    30,802.24/46,207.90 = 9,737.52/x
  3. Step 3: Cross multiply
    30,802.24x = 46,207.90 × 9,737.52
  4. Step 4: Simplify right side
    30,802.24x = 449,950,189.30
  5. Step 5: Solve for x
    x = 449,950,189.30/30,802.24
  6. Step 6: Final answer
    x = 14,607.71

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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.