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Finding the Fourth Proportional to 30,741.38, 42,423.73 and 18,641.81

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Solution

The fourth proportional to 30,741.38, 42,423.73 and 18,641.81 is: 25,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.38 : 42,423.73 = 18,641.81 : x
  2. Step 2: Convert to fraction form
    30,741.38/42,423.73 = 18,641.81/x
  3. Step 3: Cross multiply
    30,741.38x = 42,423.73 × 18,641.81
  4. Step 4: Simplify right side
    30,741.38x = 790,854,855.43
  5. Step 5: Solve for x
    x = 790,854,855.43/30,741.38
  6. Step 6: Final answer
    x = 25,726.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.