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Finding the Fourth Proportional to 55,095.50, 76,032.06 and 29,945

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Solution

The fourth proportional to 55,095.50, 76,032.06 and 29,945 is: 41,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,095.50 : 76,032.06 = 29,945 : x
  2. Step 2: Convert to fraction form
    55,095.50/76,032.06 = 29,945/x
  3. Step 3: Cross multiply
    55,095.50x = 76,032.06 × 29,945
  4. Step 4: Simplify right side
    55,095.50x = 2,276,780,036.70
  5. Step 5: Solve for x
    x = 2,276,780,036.70/55,095.50
  6. Step 6: Final answer
    x = 41,324.25

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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.