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Finding the Fourth Proportional to 76,896, 106,116.48 and 43,364.16

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Solution

The fourth proportional to 76,896, 106,116.48 and 43,364.16 is: 59,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,896 : 106,116.48 = 43,364.16 : x
  2. Step 2: Convert to fraction form
    76,896/106,116.48 = 43,364.16/x
  3. Step 3: Cross multiply
    76,896x = 106,116.48 × 43,364.16
  4. Step 4: Simplify right side
    76,896x = 4,601,652,017.36
  5. Step 5: Solve for x
    x = 4,601,652,017.36/76,896
  6. Step 6: Final answer
    x = 59,842.54

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Why These Related Problems?

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