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Finding the Fourth Proportional to 82,571.31, 113,955.44 and 46,767.69

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Solution

The fourth proportional to 82,571.31, 113,955.44 and 46,767.69 is: 64,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,571.31 : 113,955.44 = 46,767.69 : x
  2. Step 2: Convert to fraction form
    82,571.31/113,955.44 = 46,767.69/x
  3. Step 3: Cross multiply
    82,571.31x = 113,955.44 × 46,767.69
  4. Step 4: Simplify right side
    82,571.31x = 5,329,432,457.90
  5. Step 5: Solve for x
    x = 5,329,432,457.90/82,571.31
  6. Step 6: Final answer
    x = 64,543.39

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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.