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Finding the Fourth Proportional to 53,996.96, 74,522.40 and 31,640.96

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Solution

The fourth proportional to 53,996.96, 74,522.40 and 31,640.96 is: 43,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,996.96 : 74,522.40 = 31,640.96 : x
  2. Step 2: Convert to fraction form
    53,996.96/74,522.40 = 31,640.96/x
  3. Step 3: Cross multiply
    53,996.96x = 74,522.40 × 31,640.96
  4. Step 4: Simplify right side
    53,996.96x = 2,357,960,277.50
  5. Step 5: Solve for x
    x = 2,357,960,277.50/53,996.96
  6. Step 6: Final answer
    x = 43,668.39

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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.