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Finding the Fourth Proportional to 85,084.56, 117,415.04 and 53,271

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Solution

The fourth proportional to 85,084.56, 117,415.04 and 53,271 is: 73,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,084.56 : 117,415.04 = 53,271 : x
  2. Step 2: Convert to fraction form
    85,084.56/117,415.04 = 53,271/x
  3. Step 3: Cross multiply
    85,084.56x = 117,415.04 × 53,271
  4. Step 4: Simplify right side
    85,084.56x = 6,254,816,329.49
  5. Step 5: Solve for x
    x = 6,254,816,329.49/85,084.56
  6. Step 6: Final answer
    x = 73,512.94

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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.