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Finding the Fourth Proportional to 52,845.84, 72,928.80 and 30,188.16

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Solution

The fourth proportional to 52,845.84, 72,928.80 and 30,188.16 is: 41,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,845.84 : 72,928.80 = 30,188.16 : x
  2. Step 2: Convert to fraction form
    52,845.84/72,928.80 = 30,188.16/x
  3. Step 3: Cross multiply
    52,845.84x = 72,928.80 × 30,188.16
  4. Step 4: Simplify right side
    52,845.84x = 2,201,586,283.01
  5. Step 5: Solve for x
    x = 2,201,586,283.01/52,845.84
  6. Step 6: Final answer
    x = 41,660.54

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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.