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Finding the Fourth Proportional to 55,412.52, 76,468.86 and 30,262

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Solution

The fourth proportional to 55,412.52, 76,468.86 and 30,262 is: 41,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,412.52 : 76,468.86 = 30,262 : x
  2. Step 2: Convert to fraction form
    55,412.52/76,468.86 = 30,262/x
  3. Step 3: Cross multiply
    55,412.52x = 76,468.86 × 30,262
  4. Step 4: Simplify right side
    55,412.52x = 2,314,100,641.32
  5. Step 5: Solve for x
    x = 2,314,100,641.32/55,412.52
  6. Step 6: Final answer
    x = 41,761.33

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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.