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Finding the Fourth Proportional to 52,499.94, 78,415.26 and 47,494.62

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Solution

The fourth proportional to 52,499.94, 78,415.26 and 47,494.62 is: 70,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,499.94 : 78,415.26 = 47,494.62 : x
  2. Step 2: Convert to fraction form
    52,499.94/78,415.26 = 47,494.62/x
  3. Step 3: Cross multiply
    52,499.94x = 78,415.26 × 47,494.62
  4. Step 4: Simplify right side
    52,499.94x = 3,724,302,975.90
  5. Step 5: Solve for x
    x = 3,724,302,975.90/52,499.94
  6. Step 6: Final answer
    x = 70,939.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.