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Finding the Fourth Proportional to 37,018.36, 51,085.74 and 20,251

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Solution

The fourth proportional to 37,018.36, 51,085.74 and 20,251 is: 27,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,018.36 : 51,085.74 = 20,251 : x
  2. Step 2: Convert to fraction form
    37,018.36/51,085.74 = 20,251/x
  3. Step 3: Cross multiply
    37,018.36x = 51,085.74 × 20,251
  4. Step 4: Simplify right side
    37,018.36x = 1,034,537,320.74
  5. Step 5: Solve for x
    x = 1,034,537,320.74/37,018.36
  6. Step 6: Final answer
    x = 27,946.60

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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.