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Finding the Fourth Proportional to 55,157.68, 76,117.26 and 30,007

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Solution

The fourth proportional to 55,157.68, 76,117.26 and 30,007 is: 41,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,157.68 : 76,117.26 = 30,007 : x
  2. Step 2: Convert to fraction form
    55,157.68/76,117.26 = 30,007/x
  3. Step 3: Cross multiply
    55,157.68x = 76,117.26 × 30,007
  4. Step 4: Simplify right side
    55,157.68x = 2,284,050,620.82
  5. Step 5: Solve for x
    x = 2,284,050,620.82/55,157.68
  6. Step 6: Final answer
    x = 41,409.48

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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.