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Finding the Fourth Proportional to 89,185, 123,094.50 and 53,383

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Solution

The fourth proportional to 89,185, 123,094.50 and 53,383 is: 73,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,185 : 123,094.50 = 53,383 : x
  2. Step 2: Convert to fraction form
    89,185/123,094.50 = 53,383/x
  3. Step 3: Cross multiply
    89,185x = 123,094.50 × 53,383
  4. Step 4: Simplify right side
    89,185x = 6,571,153,693.50
  5. Step 5: Solve for x
    x = 6,571,153,693.50/89,185
  6. Step 6: Final answer
    x = 73,680.03

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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.