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Finding the Fourth Proportional to 52,356.72, 78,505.44 and 47,893.45

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Solution

The fourth proportional to 52,356.72, 78,505.44 and 47,893.45 is: 71,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,356.72 : 78,505.44 = 47,893.45 : x
  2. Step 2: Convert to fraction form
    52,356.72/78,505.44 = 47,893.45/x
  3. Step 3: Cross multiply
    52,356.72x = 78,505.44 × 47,893.45
  4. Step 4: Simplify right side
    52,356.72x = 3,759,896,311.15
  5. Step 5: Solve for x
    x = 3,759,896,311.15/52,356.72
  6. Step 6: Final answer
    x = 71,813.06

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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.