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Finding the Fourth Proportional to 32,586, 44,968.72 and 18,438.56

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Solution

The fourth proportional to 32,586, 44,968.72 and 18,438.56 is: 25,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586 : 44,968.72 = 18,438.56 : x
  2. Step 2: Convert to fraction form
    32,586/44,968.72 = 18,438.56/x
  3. Step 3: Cross multiply
    32,586x = 44,968.72 × 18,438.56
  4. Step 4: Simplify right side
    32,586x = 829,158,441.84
  5. Step 5: Solve for x
    x = 829,158,441.84/32,586
  6. Step 6: Final answer
    x = 25,445.24

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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.