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Finding the Fourth Proportional to 64,825.62, 89,465.22 and 37,977.36

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Solution

The fourth proportional to 64,825.62, 89,465.22 and 37,977.36 is: 52,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,825.62 : 89,465.22 = 37,977.36 : x
  2. Step 2: Convert to fraction form
    64,825.62/89,465.22 = 37,977.36/x
  3. Step 3: Cross multiply
    64,825.62x = 89,465.22 × 37,977.36
  4. Step 4: Simplify right side
    64,825.62x = 3,397,652,867.42
  5. Step 5: Solve for x
    x = 3,397,652,867.42/64,825.62
  6. Step 6: Final answer
    x = 52,412.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.