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Finding the Fourth Proportional to 34,121, 51,146.87 and 13,055.63

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Solution

The fourth proportional to 34,121, 51,146.87 and 13,055.63 is: 19,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,121 : 51,146.87 = 13,055.63 : x
  2. Step 2: Convert to fraction form
    34,121/51,146.87 = 13,055.63/x
  3. Step 3: Cross multiply
    34,121x = 51,146.87 × 13,055.63
  4. Step 4: Simplify right side
    34,121x = 667,754,610.38
  5. Step 5: Solve for x
    x = 667,754,610.38/34,121
  6. Step 6: Final answer
    x = 19,570.19

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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.