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Finding the Fourth Proportional to 52,378.49, 78,533.93 and 22,412.29

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Solution

The fourth proportional to 52,378.49, 78,533.93 and 22,412.29 is: 33,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,378.49 : 78,533.93 = 22,412.29 : x
  2. Step 2: Convert to fraction form
    52,378.49/78,533.93 = 22,412.29/x
  3. Step 3: Cross multiply
    52,378.49x = 78,533.93 × 22,412.29
  4. Step 4: Simplify right side
    52,378.49x = 1,760,124,821.33
  5. Step 5: Solve for x
    x = 1,760,124,821.33/52,378.49
  6. Step 6: Final answer
    x = 33,603.96

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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.