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Finding the Fourth Proportional to 30,838.42, 42,558.05 and 18,899.45

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Solution

The fourth proportional to 30,838.42, 42,558.05 and 18,899.45 is: 26,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.42 : 42,558.05 = 18,899.45 : x
  2. Step 2: Convert to fraction form
    30,838.42/42,558.05 = 18,899.45/x
  3. Step 3: Cross multiply
    30,838.42x = 42,558.05 × 18,899.45
  4. Step 4: Simplify right side
    30,838.42x = 804,323,738.07
  5. Step 5: Solve for x
    x = 804,323,738.07/30,838.42
  6. Step 6: Final answer
    x = 26,081.87

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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.