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Finding the Fourth Proportional to 57,706.56, 79,637.46 and 32,556

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Solution

The fourth proportional to 57,706.56, 79,637.46 and 32,556 is: 44,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706.56 : 79,637.46 = 32,556 : x
  2. Step 2: Convert to fraction form
    57,706.56/79,637.46 = 32,556/x
  3. Step 3: Cross multiply
    57,706.56x = 79,637.46 × 32,556
  4. Step 4: Simplify right side
    57,706.56x = 2,592,677,147.76
  5. Step 5: Solve for x
    x = 2,592,677,147.76/57,706.56
  6. Step 6: Final answer
    x = 44,928.64

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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.