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Finding the Fourth Proportional to 55,444.36, 76,514.34 and 30,295.48

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Solution

The fourth proportional to 55,444.36, 76,514.34 and 30,295.48 is: 41,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,444.36 : 76,514.34 = 30,295.48 : x
  2. Step 2: Convert to fraction form
    55,444.36/76,514.34 = 30,295.48/x
  3. Step 3: Cross multiply
    55,444.36x = 76,514.34 × 30,295.48
  4. Step 4: Simplify right side
    55,444.36x = 2,318,038,657.18
  5. Step 5: Solve for x
    x = 2,318,038,657.18/55,444.36
  6. Step 6: Final answer
    x = 41,808.38

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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.