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Finding the Fourth Proportional to 29,433.76, 44,153.36 and 9,712.32

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Solution

The fourth proportional to 29,433.76, 44,153.36 and 9,712.32 is: 14,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,433.76 : 44,153.36 = 9,712.32 : x
  2. Step 2: Convert to fraction form
    29,433.76/44,153.36 = 9,712.32/x
  3. Step 3: Cross multiply
    29,433.76x = 44,153.36 × 9,712.32
  4. Step 4: Simplify right side
    29,433.76x = 428,831,561.40
  5. Step 5: Solve for x
    x = 428,831,561.40/29,433.76
  6. Step 6: Final answer
    x = 14,569.38

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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.