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Finding the Fourth Proportional to 82,157.47, 113,382.56 and 46,334.41

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Solution

The fourth proportional to 82,157.47, 113,382.56 and 46,334.41 is: 63,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,157.47 : 113,382.56 = 46,334.41 : x
  2. Step 2: Convert to fraction form
    82,157.47/113,382.56 = 46,334.41/x
  3. Step 3: Cross multiply
    82,157.47x = 113,382.56 × 46,334.41
  4. Step 4: Simplify right side
    82,157.47x = 5,253,514,021.89
  5. Step 5: Solve for x
    x = 5,253,514,021.89/82,157.47
  6. Step 6: Final answer
    x = 63,944.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.