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Finding the Fourth Proportional to 96,903.30, 133,727.85 and 54,459.30

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Solution

The fourth proportional to 96,903.30, 133,727.85 and 54,459.30 is: 75,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,903.30 : 133,727.85 = 54,459.30 : x
  2. Step 2: Convert to fraction form
    96,903.30/133,727.85 = 54,459.30/x
  3. Step 3: Cross multiply
    96,903.30x = 133,727.85 × 54,459.30
  4. Step 4: Simplify right side
    96,903.30x = 7,282,725,101.51
  5. Step 5: Solve for x
    x = 7,282,725,101.51/96,903.30
  6. Step 6: Final answer
    x = 75,154.56

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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.