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Finding the Fourth Proportional to 64,477.42, 96,741.64 and 25,045.81

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Solution

The fourth proportional to 64,477.42, 96,741.64 and 25,045.81 is: 37,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,477.42 : 96,741.64 = 25,045.81 : x
  2. Step 2: Convert to fraction form
    64,477.42/96,741.64 = 25,045.81/x
  3. Step 3: Cross multiply
    64,477.42x = 96,741.64 × 25,045.81
  4. Step 4: Simplify right side
    64,477.42x = 2,422,972,523.98
  5. Step 5: Solve for x
    x = 2,422,972,523.98/64,477.42
  6. Step 6: Final answer
    x = 37,578.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.