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Finding the Fourth Proportional to 42,069, 58,055.34 and 23,205.96

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Solution

The fourth proportional to 42,069, 58,055.34 and 23,205.96 is: 32,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,069 : 58,055.34 = 23,205.96 : x
  2. Step 2: Convert to fraction form
    42,069/58,055.34 = 23,205.96/x
  3. Step 3: Cross multiply
    42,069x = 58,055.34 × 23,205.96
  4. Step 4: Simplify right side
    42,069x = 1,347,229,897.83
  5. Step 5: Solve for x
    x = 1,347,229,897.83/42,069
  6. Step 6: Final answer
    x = 32,024.29

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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.