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Finding the Fourth Proportional to 65,321.60, 90,146.24 and 37,029.76

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Solution

The fourth proportional to 65,321.60, 90,146.24 and 37,029.76 is: 51,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,321.60 : 90,146.24 = 37,029.76 : x
  2. Step 2: Convert to fraction form
    65,321.60/90,146.24 = 37,029.76/x
  3. Step 3: Cross multiply
    65,321.60x = 90,146.24 × 37,029.76
  4. Step 4: Simplify right side
    65,321.60x = 3,338,093,632.10
  5. Step 5: Solve for x
    x = 3,338,093,632.10/65,321.60
  6. Step 6: Final answer
    x = 51,102.45

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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.