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Finding the Fourth Proportional to 51,322.68, 70,832.34 and 30,108.78

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Solution

The fourth proportional to 51,322.68, 70,832.34 and 30,108.78 is: 41,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,322.68 : 70,832.34 = 30,108.78 : x
  2. Step 2: Convert to fraction form
    51,322.68/70,832.34 = 30,108.78/x
  3. Step 3: Cross multiply
    51,322.68x = 70,832.34 × 30,108.78
  4. Step 4: Simplify right side
    51,322.68x = 2,132,675,341.95
  5. Step 5: Solve for x
    x = 2,132,675,341.95/51,322.68
  6. Step 6: Final answer
    x = 41,554.25

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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.