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Finding the Fourth Proportional to 42,292.98, 58,362 and 23,169.21

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Solution

The fourth proportional to 42,292.98, 58,362 and 23,169.21 is: 31,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,292.98 : 58,362 = 23,169.21 : x
  2. Step 2: Convert to fraction form
    42,292.98/58,362 = 23,169.21/x
  3. Step 3: Cross multiply
    42,292.98x = 58,362 × 23,169.21
  4. Step 4: Simplify right side
    42,292.98x = 1,352,201,434.02
  5. Step 5: Solve for x
    x = 1,352,201,434.02/42,292.98
  6. Step 6: Final answer
    x = 31,972.24

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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.