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Finding the Fourth Proportional to 77,548.56, 116,323.56 and 49,866

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Solution

The fourth proportional to 77,548.56, 116,323.56 and 49,866 is: 74,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,548.56 : 116,323.56 = 49,866 : x
  2. Step 2: Convert to fraction form
    77,548.56/116,323.56 = 49,866/x
  3. Step 3: Cross multiply
    77,548.56x = 116,323.56 × 49,866
  4. Step 4: Simplify right side
    77,548.56x = 5,800,590,642.96
  5. Step 5: Solve for x
    x = 5,800,590,642.96/77,548.56
  6. Step 6: Final answer
    x = 74,799.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.