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Finding the Fourth Proportional to 65,787, 98,725.86 and 57,013.08

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Solution

The fourth proportional to 65,787, 98,725.86 and 57,013.08 is: 85,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,787 : 98,725.86 = 57,013.08 : x
  2. Step 2: Convert to fraction form
    65,787/98,725.86 = 57,013.08/x
  3. Step 3: Cross multiply
    65,787x = 98,725.86 × 57,013.08
  4. Step 4: Simplify right side
    65,787x = 5,628,665,354.25
  5. Step 5: Solve for x
    x = 5,628,665,354.25/65,787
  6. Step 6: Final answer
    x = 85,558.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.