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Finding the Fourth Proportional to 53,500.40, 73,745.64 and 42,152.60

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Solution

The fourth proportional to 53,500.40, 73,745.64 and 42,152.60 is: 58,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,500.40 : 73,745.64 = 42,152.60 : x
  2. Step 2: Convert to fraction form
    53,500.40/73,745.64 = 42,152.60/x
  3. Step 3: Cross multiply
    53,500.40x = 73,745.64 × 42,152.60
  4. Step 4: Simplify right side
    53,500.40x = 3,108,570,649.03
  5. Step 5: Solve for x
    x = 3,108,570,649.03/53,500.40
  6. Step 6: Final answer
    x = 58,103.69

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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.