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Finding the Fourth Proportional to 82,145.68, 113,360.48 and 46,336

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Solution

The fourth proportional to 82,145.68, 113,360.48 and 46,336 is: 63,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,145.68 : 113,360.48 = 46,336 : x
  2. Step 2: Convert to fraction form
    82,145.68/113,360.48 = 46,336/x
  3. Step 3: Cross multiply
    82,145.68x = 113,360.48 × 46,336
  4. Step 4: Simplify right side
    82,145.68x = 5,252,671,201.28
  5. Step 5: Solve for x
    x = 5,252,671,201.28/82,145.68
  6. Step 6: Final answer
    x = 63,943.37

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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.