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Finding the Fourth Proportional to 52,495.94, 78,751.84 and 16,945.38

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Solution

The fourth proportional to 52,495.94, 78,751.84 and 16,945.38 is: 25,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,495.94 : 78,751.84 = 16,945.38 : x
  2. Step 2: Convert to fraction form
    52,495.94/78,751.84 = 16,945.38/x
  3. Step 3: Cross multiply
    52,495.94x = 78,751.84 × 16,945.38
  4. Step 4: Simplify right side
    52,495.94x = 1,334,479,854.50
  5. Step 5: Solve for x
    x = 1,334,479,854.50/52,495.94
  6. Step 6: Final answer
    x = 25,420.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.