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Finding the Fourth Proportional to 55,499.04, 76,587.12 and 30,348

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Solution

The fourth proportional to 55,499.04, 76,587.12 and 30,348 is: 41,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,499.04 : 76,587.12 = 30,348 : x
  2. Step 2: Convert to fraction form
    55,499.04/76,587.12 = 30,348/x
  3. Step 3: Cross multiply
    55,499.04x = 76,587.12 × 30,348
  4. Step 4: Simplify right side
    55,499.04x = 2,324,265,917.76
  5. Step 5: Solve for x
    x = 2,324,265,917.76/55,499.04
  6. Step 6: Final answer
    x = 41,879.39

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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.