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Finding the Fourth Proportional to 35,751, 49,334.70 and 19,617.95

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Solution

The fourth proportional to 35,751, 49,334.70 and 19,617.95 is: 27,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751 : 49,334.70 = 19,617.95 : x
  2. Step 2: Convert to fraction form
    35,751/49,334.70 = 19,617.95/x
  3. Step 3: Cross multiply
    35,751x = 49,334.70 × 19,617.95
  4. Step 4: Simplify right side
    35,751x = 967,845,431.19
  5. Step 5: Solve for x
    x = 967,845,431.19/35,751
  6. Step 6: Final answer
    x = 27,071.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.