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Finding the Fourth Proportional to 35,309.95, 52,964.89 and 9,014.69

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Solution

The fourth proportional to 35,309.95, 52,964.89 and 9,014.69 is: 13,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,309.95 : 52,964.89 = 9,014.69 : x
  2. Step 2: Convert to fraction form
    35,309.95/52,964.89 = 9,014.69/x
  3. Step 3: Cross multiply
    35,309.95x = 52,964.89 × 9,014.69
  4. Step 4: Simplify right side
    35,309.95x = 477,462,174.11
  5. Step 5: Solve for x
    x = 477,462,174.11/35,309.95
  6. Step 6: Final answer
    x = 13,522.03

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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.