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Finding the Fourth Proportional to 30,724.79, 46,098.29 and 10,737.24

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Solution

The fourth proportional to 30,724.79, 46,098.29 and 10,737.24 is: 16,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.79 : 46,098.29 = 10,737.24 : x
  2. Step 2: Convert to fraction form
    30,724.79/46,098.29 = 10,737.24/x
  3. Step 3: Cross multiply
    30,724.79x = 46,098.29 × 10,737.24
  4. Step 4: Simplify right side
    30,724.79x = 494,968,603.03
  5. Step 5: Solve for x
    x = 494,968,603.03/30,724.79
  6. Step 6: Final answer
    x = 16,109.75

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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.