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Finding the Fourth Proportional to 53,768.50, 74,200.53 and 30,216.50

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Solution

The fourth proportional to 53,768.50, 74,200.53 and 30,216.50 is: 41,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,768.50 : 74,200.53 = 30,216.50 : x
  2. Step 2: Convert to fraction form
    53,768.50/74,200.53 = 30,216.50/x
  3. Step 3: Cross multiply
    53,768.50x = 74,200.53 × 30,216.50
  4. Step 4: Simplify right side
    53,768.50x = 2,242,080,314.75
  5. Step 5: Solve for x
    x = 2,242,080,314.75/53,768.50
  6. Step 6: Final answer
    x = 41,698.77

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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.