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Finding the Fourth Proportional to 57,168, 78,892.25 and 32,017.50

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Solution

The fourth proportional to 57,168, 78,892.25 and 32,017.50 is: 44,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,168 : 78,892.25 = 32,017.50 : x
  2. Step 2: Convert to fraction form
    57,168/78,892.25 = 32,017.50/x
  3. Step 3: Cross multiply
    57,168x = 78,892.25 × 32,017.50
  4. Step 4: Simplify right side
    57,168x = 2,525,932,454.29
  5. Step 5: Solve for x
    x = 2,525,932,454.29/57,168
  6. Step 6: Final answer
    x = 44,184.38

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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.