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Finding the Fourth Proportional to 42,309, 58,386.42 and 23,447.34

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Solution

The fourth proportional to 42,309, 58,386.42 and 23,447.34 is: 32,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309 : 58,386.42 = 23,447.34 : x
  2. Step 2: Convert to fraction form
    42,309/58,386.42 = 23,447.34/x
  3. Step 3: Cross multiply
    42,309x = 58,386.42 × 23,447.34
  4. Step 4: Simplify right side
    42,309x = 1,369,006,241.12
  5. Step 5: Solve for x
    x = 1,369,006,241.12/42,309
  6. Step 6: Final answer
    x = 32,357.33

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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.