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Finding the Fourth Proportional to 34,041, 51,064.38 and 9,417

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Solution

The fourth proportional to 34,041, 51,064.38 and 9,417 is: 14,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041 : 51,064.38 = 9,417 : x
  2. Step 2: Convert to fraction form
    34,041/51,064.38 = 9,417/x
  3. Step 3: Cross multiply
    34,041x = 51,064.38 × 9,417
  4. Step 4: Simplify right side
    34,041x = 480,873,266.46
  5. Step 5: Solve for x
    x = 480,873,266.46/34,041
  6. Step 6: Final answer
    x = 14,126.30

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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.