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Finding the Fourth Proportional to 57,762.16, 86,653.09 and 25,752.84

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Solution

The fourth proportional to 57,762.16, 86,653.09 and 25,752.84 is: 38,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.16 : 86,653.09 = 25,752.84 : x
  2. Step 2: Convert to fraction form
    57,762.16/86,653.09 = 25,752.84/x
  3. Step 3: Cross multiply
    57,762.16x = 86,653.09 × 25,752.84
  4. Step 4: Simplify right side
    57,762.16x = 2,231,563,230.19
  5. Step 5: Solve for x
    x = 2,231,563,230.19/57,762.16
  6. Step 6: Final answer
    x = 38,633.66

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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.