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Finding the Fourth Proportional to 65,114.40, 97,671.60 and 57,338.40

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Solution

The fourth proportional to 65,114.40, 97,671.60 and 57,338.40 is: 86,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.40 : 97,671.60 = 57,338.40 : x
  2. Step 2: Convert to fraction form
    65,114.40/97,671.60 = 57,338.40/x
  3. Step 3: Cross multiply
    65,114.40x = 97,671.60 × 57,338.40
  4. Step 4: Simplify right side
    65,114.40x = 5,600,333,269.44
  5. Step 5: Solve for x
    x = 5,600,333,269.44/65,114.40
  6. Step 6: Final answer
    x = 86,007.60

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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.