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Finding the Fourth Proportional to 93,852, 140,800.68 and 38,448

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Solution

The fourth proportional to 93,852, 140,800.68 and 38,448 is: 57,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,852 : 140,800.68 = 38,448 : x
  2. Step 2: Convert to fraction form
    93,852/140,800.68 = 38,448/x
  3. Step 3: Cross multiply
    93,852x = 140,800.68 × 38,448
  4. Step 4: Simplify right side
    93,852x = 5,413,504,544.64
  5. Step 5: Solve for x
    x = 5,413,504,544.64/93,852
  6. Step 6: Final answer
    x = 57,681.29

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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.