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Finding the Fourth Proportional to 53,425.60, 73,724.32 and 30,760.96

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Solution

The fourth proportional to 53,425.60, 73,724.32 and 30,760.96 is: 42,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,425.60 : 73,724.32 = 30,760.96 : x
  2. Step 2: Convert to fraction form
    53,425.60/73,724.32 = 30,760.96/x
  3. Step 3: Cross multiply
    53,425.60x = 73,724.32 × 30,760.96
  4. Step 4: Simplify right side
    53,425.60x = 2,267,830,858.55
  5. Step 5: Solve for x
    x = 2,267,830,858.55/53,425.60
  6. Step 6: Final answer
    x = 42,448.39

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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.