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Finding the Fourth Proportional to 35,956.08, 53,938.13 and 9,662.90

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Solution

The fourth proportional to 35,956.08, 53,938.13 and 9,662.90 is: 14,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,956.08 : 53,938.13 = 9,662.90 : x
  2. Step 2: Convert to fraction form
    35,956.08/53,938.13 = 9,662.90/x
  3. Step 3: Cross multiply
    35,956.08x = 53,938.13 × 9,662.90
  4. Step 4: Simplify right side
    35,956.08x = 521,198,438.37
  5. Step 5: Solve for x
    x = 521,198,438.37/35,956.08
  6. Step 6: Final answer
    x = 14,495.42

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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.