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Finding the Fourth Proportional to 37,963.06, 52,381 and 22,039.26

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Solution

The fourth proportional to 37,963.06, 52,381 and 22,039.26 is: 30,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,963.06 : 52,381 = 22,039.26 : x
  2. Step 2: Convert to fraction form
    37,963.06/52,381 = 22,039.26/x
  3. Step 3: Cross multiply
    37,963.06x = 52,381 × 22,039.26
  4. Step 4: Simplify right side
    37,963.06x = 1,154,438,478.06
  5. Step 5: Solve for x
    x = 1,154,438,478.06/37,963.06
  6. Step 6: Final answer
    x = 30,409.52

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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.