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Finding the Fourth Proportional to 55,101.52, 76,040.36 and 29,951

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Solution

The fourth proportional to 55,101.52, 76,040.36 and 29,951 is: 41,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,101.52 : 76,040.36 = 29,951 : x
  2. Step 2: Convert to fraction form
    55,101.52/76,040.36 = 29,951/x
  3. Step 3: Cross multiply
    55,101.52x = 76,040.36 × 29,951
  4. Step 4: Simplify right side
    55,101.52x = 2,277,484,822.36
  5. Step 5: Solve for x
    x = 2,277,484,822.36/55,101.52
  6. Step 6: Final answer
    x = 41,332.52

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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.