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Finding the Fourth Proportional to 44,373.84, 66,175.87 and 37,842

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Solution

The fourth proportional to 44,373.84, 66,175.87 and 37,842 is: 56,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,373.84 : 66,175.87 = 37,842 : x
  2. Step 2: Convert to fraction form
    44,373.84/66,175.87 = 37,842/x
  3. Step 3: Cross multiply
    44,373.84x = 66,175.87 × 37,842
  4. Step 4: Simplify right side
    44,373.84x = 2,504,227,272.54
  5. Step 5: Solve for x
    x = 2,504,227,272.54/44,373.84
  6. Step 6: Final answer
    x = 56,434.77

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Why These Related Problems?

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