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Finding the Fourth Proportional to 89,125, 122,992.50 and 53,316.52

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Solution

The fourth proportional to 89,125, 122,992.50 and 53,316.52 is: 73,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,125 : 122,992.50 = 53,316.52 : x
  2. Step 2: Convert to fraction form
    89,125/122,992.50 = 53,316.52/x
  3. Step 3: Cross multiply
    89,125x = 122,992.50 × 53,316.52
  4. Step 4: Simplify right side
    89,125x = 6,557,532,086.10
  5. Step 5: Solve for x
    x = 6,557,532,086.10/89,125
  6. Step 6: Final answer
    x = 73,576.80

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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.