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Finding the Fourth Proportional to 44,374.84, 66,177.36 and 37,843

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Solution

The fourth proportional to 44,374.84, 66,177.36 and 37,843 is: 56,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,374.84 : 66,177.36 = 37,843 : x
  2. Step 2: Convert to fraction form
    44,374.84/66,177.36 = 37,843/x
  3. Step 3: Cross multiply
    44,374.84x = 66,177.36 × 37,843
  4. Step 4: Simplify right side
    44,374.84x = 2,504,349,834.48
  5. Step 5: Solve for x
    x = 2,504,349,834.48/44,374.84
  6. Step 6: Final answer
    x = 56,436.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.