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Finding the Fourth Proportional to 42,237, 58,286.16 and 23,116.77

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Solution

The fourth proportional to 42,237, 58,286.16 and 23,116.77 is: 31,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,237 : 58,286.16 = 23,116.77 : x
  2. Step 2: Convert to fraction form
    42,237/58,286.16 = 23,116.77/x
  3. Step 3: Cross multiply
    42,237x = 58,286.16 × 23,116.77
  4. Step 4: Simplify right side
    42,237x = 1,347,387,754.90
  5. Step 5: Solve for x
    x = 1,347,387,754.90/42,237
  6. Step 6: Final answer
    x = 31,900.65

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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.