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Finding the Fourth Proportional to 65,239.09, 97,858.12 and 38,768.53

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Solution

The fourth proportional to 65,239.09, 97,858.12 and 38,768.53 is: 58,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239.09 : 97,858.12 = 38,768.53 : x
  2. Step 2: Convert to fraction form
    65,239.09/97,858.12 = 38,768.53/x
  3. Step 3: Cross multiply
    65,239.09x = 97,858.12 × 38,768.53
  4. Step 4: Simplify right side
    65,239.09x = 3,793,815,267.12
  5. Step 5: Solve for x
    x = 3,793,815,267.12/65,239.09
  6. Step 6: Final answer
    x = 58,152.49

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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.