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Finding the Fourth Proportional to 37,218.69, 51,362 and 20,223.06

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Solution

The fourth proportional to 37,218.69, 51,362 and 20,223.06 is: 27,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,218.69 : 51,362 = 20,223.06 : x
  2. Step 2: Convert to fraction form
    37,218.69/51,362 = 20,223.06/x
  3. Step 3: Cross multiply
    37,218.69x = 51,362 × 20,223.06
  4. Step 4: Simplify right side
    37,218.69x = 1,038,696,807.72
  5. Step 5: Solve for x
    x = 1,038,696,807.72/37,218.69
  6. Step 6: Final answer
    x = 27,907.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.