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Finding the Fourth Proportional to 46,804.54, 70,194.16 and 21,820.18

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Solution

The fourth proportional to 46,804.54, 70,194.16 and 21,820.18 is: 32,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,804.54 : 70,194.16 = 21,820.18 : x
  2. Step 2: Convert to fraction form
    46,804.54/70,194.16 = 21,820.18/x
  3. Step 3: Cross multiply
    46,804.54x = 70,194.16 × 21,820.18
  4. Step 4: Simplify right side
    46,804.54x = 1,531,649,206.15
  5. Step 5: Solve for x
    x = 1,531,649,206.15/46,804.54
  6. Step 6: Final answer
    x = 32,724.37

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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.