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Finding the Fourth Proportional to 82,343.44, 113,632.44 and 46,532.68

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Solution

The fourth proportional to 82,343.44, 113,632.44 and 46,532.68 is: 64,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,343.44 : 113,632.44 = 46,532.68 : x
  2. Step 2: Convert to fraction form
    82,343.44/113,632.44 = 46,532.68/x
  3. Step 3: Cross multiply
    82,343.44x = 113,632.44 × 46,532.68
  4. Step 4: Simplify right side
    82,343.44x = 5,287,621,968.14
  5. Step 5: Solve for x
    x = 5,287,621,968.14/82,343.44
  6. Step 6: Final answer
    x = 64,214.25

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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.