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Finding the Fourth Proportional to 37,125, 55,696.14 and 12,501

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Solution

The fourth proportional to 37,125, 55,696.14 and 12,501 is: 18,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,125 : 55,696.14 = 12,501 : x
  2. Step 2: Convert to fraction form
    37,125/55,696.14 = 12,501/x
  3. Step 3: Cross multiply
    37,125x = 55,696.14 × 12,501
  4. Step 4: Simplify right side
    37,125x = 696,257,446.14
  5. Step 5: Solve for x
    x = 696,257,446.14/37,125
  6. Step 6: Final answer
    x = 18,754.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.