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Finding the Fourth Proportional to 53,505.35, 73,839.78 and 29,308.02

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Solution

The fourth proportional to 53,505.35, 73,839.78 and 29,308.02 is: 40,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,505.35 : 73,839.78 = 29,308.02 : x
  2. Step 2: Convert to fraction form
    53,505.35/73,839.78 = 29,308.02/x
  3. Step 3: Cross multiply
    53,505.35x = 73,839.78 × 29,308.02
  4. Step 4: Simplify right side
    53,505.35x = 2,164,097,749.04
  5. Step 5: Solve for x
    x = 2,164,097,749.04/53,505.35
  6. Step 6: Final answer
    x = 40,446.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.