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Finding the Fourth Proportional to 64,325.16, 96,525.72 and 35,886

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Solution

The fourth proportional to 64,325.16, 96,525.72 and 35,886 is: 53,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,325.16 : 96,525.72 = 35,886 : x
  2. Step 2: Convert to fraction form
    64,325.16/96,525.72 = 35,886/x
  3. Step 3: Cross multiply
    64,325.16x = 96,525.72 × 35,886
  4. Step 4: Simplify right side
    64,325.16x = 3,463,921,987.92
  5. Step 5: Solve for x
    x = 3,463,921,987.92/64,325.16
  6. Step 6: Final answer
    x = 53,850.19

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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.