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Finding the Fourth Proportional to 56,049.08, 77,347.66 and 30,899

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Solution

The fourth proportional to 56,049.08, 77,347.66 and 30,899 is: 42,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,049.08 : 77,347.66 = 30,899 : x
  2. Step 2: Convert to fraction form
    56,049.08/77,347.66 = 30,899/x
  3. Step 3: Cross multiply
    56,049.08x = 77,347.66 × 30,899
  4. Step 4: Simplify right side
    56,049.08x = 2,389,965,346.34
  5. Step 5: Solve for x
    x = 2,389,965,346.34/56,049.08
  6. Step 6: Final answer
    x = 42,640.58

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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.