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Finding the Fourth Proportional to 82,581.88, 113,970.94 and 46,283.15

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Solution

The fourth proportional to 82,581.88, 113,970.94 and 46,283.15 is: 63,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,581.88 : 113,970.94 = 46,283.15 : x
  2. Step 2: Convert to fraction form
    82,581.88/113,970.94 = 46,283.15/x
  3. Step 3: Cross multiply
    82,581.88x = 113,970.94 × 46,283.15
  4. Step 4: Simplify right side
    82,581.88x = 5,274,933,599.66
  5. Step 5: Solve for x
    x = 5,274,933,599.66/82,581.88
  6. Step 6: Final answer
    x = 63,875.20

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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.