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Finding the Fourth Proportional to 76,162.56, 105,091.80 and 47,848.08

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Solution

The fourth proportional to 76,162.56, 105,091.80 and 47,848.08 is: 66,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,162.56 : 105,091.80 = 47,848.08 : x
  2. Step 2: Convert to fraction form
    76,162.56/105,091.80 = 47,848.08/x
  3. Step 3: Cross multiply
    76,162.56x = 105,091.80 × 47,848.08
  4. Step 4: Simplify right side
    76,162.56x = 5,028,440,853.74
  5. Step 5: Solve for x
    x = 5,028,440,853.74/76,162.56
  6. Step 6: Final answer
    x = 66,022.48

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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.