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Finding the Fourth Proportional to 55,853.99, 77,076.55 and 30,703.31

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Solution

The fourth proportional to 55,853.99, 77,076.55 and 30,703.31 is: 42,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,853.99 : 77,076.55 = 30,703.31 : x
  2. Step 2: Convert to fraction form
    55,853.99/77,076.55 = 30,703.31/x
  3. Step 3: Cross multiply
    55,853.99x = 77,076.55 × 30,703.31
  4. Step 4: Simplify right side
    55,853.99x = 2,366,505,208.38
  5. Step 5: Solve for x
    x = 2,366,505,208.38/55,853.99
  6. Step 6: Final answer
    x = 42,369.49

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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.