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Finding the Fourth Proportional to 57,657.32, 79,564.06 and 32,166.35

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Solution

The fourth proportional to 57,657.32, 79,564.06 and 32,166.35 is: 44,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657.32 : 79,564.06 = 32,166.35 : x
  2. Step 2: Convert to fraction form
    57,657.32/79,564.06 = 32,166.35/x
  3. Step 3: Cross multiply
    57,657.32x = 79,564.06 × 32,166.35
  4. Step 4: Simplify right side
    57,657.32x = 2,559,285,401.38
  5. Step 5: Solve for x
    x = 2,559,285,401.38/57,657.32
  6. Step 6: Final answer
    x = 44,387.87

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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.