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Finding the Fourth Proportional to 76,187.36, 105,126.06 and 47,873

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Solution

The fourth proportional to 76,187.36, 105,126.06 and 47,873 is: 66,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,187.36 : 105,126.06 = 47,873 : x
  2. Step 2: Convert to fraction form
    76,187.36/105,126.06 = 47,873/x
  3. Step 3: Cross multiply
    76,187.36x = 105,126.06 × 47,873
  4. Step 4: Simplify right side
    76,187.36x = 5,032,699,870.38
  5. Step 5: Solve for x
    x = 5,032,699,870.38/76,187.36
  6. Step 6: Final answer
    x = 66,056.89

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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.