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Finding the Fourth Proportional to 52,349.37, 78,478.70 and 21,164.37

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Solution

The fourth proportional to 52,349.37, 78,478.70 and 21,164.37 is: 31,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,349.37 : 78,478.70 = 21,164.37 : x
  2. Step 2: Convert to fraction form
    52,349.37/78,478.70 = 21,164.37/x
  3. Step 3: Cross multiply
    52,349.37x = 78,478.70 × 21,164.37
  4. Step 4: Simplify right side
    52,349.37x = 1,660,952,138.10
  5. Step 5: Solve for x
    x = 1,660,952,138.10/52,349.37
  6. Step 6: Final answer
    x = 31,728.22

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