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Finding the Fourth Proportional to 35,668.44, 53,476.62 and 21,827.16

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Solution

The fourth proportional to 35,668.44, 53,476.62 and 21,827.16 is: 32,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,668.44 : 53,476.62 = 21,827.16 : x
  2. Step 2: Convert to fraction form
    35,668.44/53,476.62 = 21,827.16/x
  3. Step 3: Cross multiply
    35,668.44x = 53,476.62 × 21,827.16
  4. Step 4: Simplify right side
    35,668.44x = 1,167,242,741.00
  5. Step 5: Solve for x
    x = 1,167,242,741.00/35,668.44
  6. Step 6: Final answer
    x = 32,724.80

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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.