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Finding the Fourth Proportional to 42,043, 58,019.34 and 23,180.52

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Solution

The fourth proportional to 42,043, 58,019.34 and 23,180.52 is: 31,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,043 : 58,019.34 = 23,180.52 : x
  2. Step 2: Convert to fraction form
    42,043/58,019.34 = 23,180.52/x
  3. Step 3: Cross multiply
    42,043x = 58,019.34 × 23,180.52
  4. Step 4: Simplify right side
    42,043x = 1,344,918,471.26
  5. Step 5: Solve for x
    x = 1,344,918,471.26/42,043
  6. Step 6: Final answer
    x = 31,989.12

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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.