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Finding the Fourth Proportional to 35,963.90, 53,945.76 and 9,668.64

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Solution

The fourth proportional to 35,963.90, 53,945.76 and 9,668.64 is: 14,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,963.90 : 53,945.76 = 9,668.64 : x
  2. Step 2: Convert to fraction form
    35,963.90/53,945.76 = 9,668.64/x
  3. Step 3: Cross multiply
    35,963.90x = 53,945.76 × 9,668.64
  4. Step 4: Simplify right side
    35,963.90x = 521,582,132.97
  5. Step 5: Solve for x
    x = 521,582,132.97/35,963.90
  6. Step 6: Final answer
    x = 14,502.94

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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.