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Finding the Fourth Proportional to 30,737.44, 46,114.64 and 13,202.56

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Solution

The fourth proportional to 30,737.44, 46,114.64 and 13,202.56 is: 19,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737.44 : 46,114.64 = 13,202.56 : x
  2. Step 2: Convert to fraction form
    30,737.44/46,114.64 = 13,202.56/x
  3. Step 3: Cross multiply
    30,737.44x = 46,114.64 × 13,202.56
  4. Step 4: Simplify right side
    30,737.44x = 608,831,301.48
  5. Step 5: Solve for x
    x = 608,831,301.48/30,737.44
  6. Step 6: Final answer
    x = 19,807.48

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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.