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Finding the Fourth Proportional to 35,965.56, 53,941.85 and 9,664.16

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Solution

The fourth proportional to 35,965.56, 53,941.85 and 9,664.16 is: 14,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965.56 : 53,941.85 = 9,664.16 : x
  2. Step 2: Convert to fraction form
    35,965.56/53,941.85 = 9,664.16/x
  3. Step 3: Cross multiply
    35,965.56x = 53,941.85 × 9,664.16
  4. Step 4: Simplify right side
    35,965.56x = 521,302,351.07
  5. Step 5: Solve for x
    x = 521,302,351.07/35,965.56
  6. Step 6: Final answer
    x = 14,494.49

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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.