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Finding the Fourth Proportional to 37,088.26, 51,186.09 and 21,175

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Solution

The fourth proportional to 37,088.26, 51,186.09 and 21,175 is: 29,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,088.26 : 51,186.09 = 21,175 : x
  2. Step 2: Convert to fraction form
    37,088.26/51,186.09 = 21,175/x
  3. Step 3: Cross multiply
    37,088.26x = 51,186.09 × 21,175
  4. Step 4: Simplify right side
    37,088.26x = 1,083,865,455.75
  5. Step 5: Solve for x
    x = 1,083,865,455.75/37,088.26
  6. Step 6: Final answer
    x = 29,223.95

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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.