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Finding the Fourth Proportional to 34,203, 51,307.38 and 9,579

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Solution

The fourth proportional to 34,203, 51,307.38 and 9,579 is: 14,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,203 : 51,307.38 = 9,579 : x
  2. Step 2: Convert to fraction form
    34,203/51,307.38 = 9,579/x
  3. Step 3: Cross multiply
    34,203x = 51,307.38 × 9,579
  4. Step 4: Simplify right side
    34,203x = 491,473,393.02
  5. Step 5: Solve for x
    x = 491,473,393.02/34,203
  6. Step 6: Final answer
    x = 14,369.31

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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.