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Finding the Fourth Proportional to 57,166, 78,889.10 and 32,015.50

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Solution

The fourth proportional to 57,166, 78,889.10 and 32,015.50 is: 44,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,166 : 78,889.10 = 32,015.50 : x
  2. Step 2: Convert to fraction form
    57,166/78,889.10 = 32,015.50/x
  3. Step 3: Cross multiply
    57,166x = 78,889.10 × 32,015.50
  4. Step 4: Simplify right side
    57,166x = 2,525,673,981.05
  5. Step 5: Solve for x
    x = 2,525,673,981.05/57,166
  6. Step 6: Final answer
    x = 44,181.40

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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.