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Finding the Fourth Proportional to 35,602.84, 49,142.20 and 23,512.16

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Solution

The fourth proportional to 35,602.84, 49,142.20 and 23,512.16 is: 32,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,602.84 : 49,142.20 = 23,512.16 : x
  2. Step 2: Convert to fraction form
    35,602.84/49,142.20 = 23,512.16/x
  3. Step 3: Cross multiply
    35,602.84x = 49,142.20 × 23,512.16
  4. Step 4: Simplify right side
    35,602.84x = 1,155,439,269.15
  5. Step 5: Solve for x
    x = 1,155,439,269.15/35,602.84
  6. Step 6: Final answer
    x = 32,453.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.