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Finding the Fourth Proportional to 72,840.26, 109,260.46 and 41,653.64

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Solution

The fourth proportional to 72,840.26, 109,260.46 and 41,653.64 is: 62,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,840.26 : 109,260.46 = 41,653.64 : x
  2. Step 2: Convert to fraction form
    72,840.26/109,260.46 = 41,653.64/x
  3. Step 3: Cross multiply
    72,840.26x = 109,260.46 × 41,653.64
  4. Step 4: Simplify right side
    72,840.26x = 4,551,095,867.07
  5. Step 5: Solve for x
    x = 4,551,095,867.07/72,840.26
  6. Step 6: Final answer
    x = 62,480.50

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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.