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Finding the Fourth Proportional to 55,546, 76,653.48 and 30,395.50

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Solution

The fourth proportional to 55,546, 76,653.48 and 30,395.50 is: 41,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,546 : 76,653.48 = 30,395.50 : x
  2. Step 2: Convert to fraction form
    55,546/76,653.48 = 30,395.50/x
  3. Step 3: Cross multiply
    55,546x = 76,653.48 × 30,395.50
  4. Step 4: Simplify right side
    55,546x = 2,329,920,851.34
  5. Step 5: Solve for x
    x = 2,329,920,851.34/55,546
  6. Step 6: Final answer
    x = 41,945.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.