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Finding the Fourth Proportional to 42,614.93, 58,809 and 23,495.37

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Solution

The fourth proportional to 42,614.93, 58,809 and 23,495.37 is: 32,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,614.93 : 58,809 = 23,495.37 : x
  2. Step 2: Convert to fraction form
    42,614.93/58,809 = 23,495.37/x
  3. Step 3: Cross multiply
    42,614.93x = 58,809 × 23,495.37
  4. Step 4: Simplify right side
    42,614.93x = 1,381,739,214.33
  5. Step 5: Solve for x
    x = 1,381,739,214.33/42,614.93
  6. Step 6: Final answer
    x = 32,423.83

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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.