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Finding the Fourth Proportional to 84,761.98, 116,970.30 and 48,463.06

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Solution

The fourth proportional to 84,761.98, 116,970.30 and 48,463.06 is: 66,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,761.98 : 116,970.30 = 48,463.06 : x
  2. Step 2: Convert to fraction form
    84,761.98/116,970.30 = 48,463.06/x
  3. Step 3: Cross multiply
    84,761.98x = 116,970.30 × 48,463.06
  4. Step 4: Simplify right side
    84,761.98x = 5,668,738,667.12
  5. Step 5: Solve for x
    x = 5,668,738,667.12/84,761.98
  6. Step 6: Final answer
    x = 66,878.32

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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.