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Finding the Fourth Proportional to 35,224.81, 52,838.12 and 8,931.60

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Solution

The fourth proportional to 35,224.81, 52,838.12 and 8,931.60 is: 13,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224.81 : 52,838.12 = 8,931.60 : x
  2. Step 2: Convert to fraction form
    35,224.81/52,838.12 = 8,931.60/x
  3. Step 3: Cross multiply
    35,224.81x = 52,838.12 × 8,931.60
  4. Step 4: Simplify right side
    35,224.81x = 471,928,974.92
  5. Step 5: Solve for x
    x = 471,928,974.92/35,224.81
  6. Step 6: Final answer
    x = 13,397.63

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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.