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Finding the Fourth Proportional to 57,632.32, 86,448.48 and 29,872

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Solution

The fourth proportional to 57,632.32, 86,448.48 and 29,872 is: 44,808

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,632.32 : 86,448.48 = 29,872 : x
  2. Step 2: Convert to fraction form
    57,632.32/86,448.48 = 29,872/x
  3. Step 3: Cross multiply
    57,632.32x = 86,448.48 × 29,872
  4. Step 4: Simplify right side
    57,632.32x = 2,582,388,994.56
  5. Step 5: Solve for x
    x = 2,582,388,994.56/57,632.32
  6. Step 6: Final answer
    x = 44,808

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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.