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Finding the Fourth Proportional to 42,706.56, 58,933.12 and 23,840

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Solution

The fourth proportional to 42,706.56, 58,933.12 and 23,840 is: 32,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706.56 : 58,933.12 = 23,840 : x
  2. Step 2: Convert to fraction form
    42,706.56/58,933.12 = 23,840/x
  3. Step 3: Cross multiply
    42,706.56x = 58,933.12 × 23,840
  4. Step 4: Simplify right side
    42,706.56x = 1,404,965,580.80
  5. Step 5: Solve for x
    x = 1,404,965,580.80/42,706.56
  6. Step 6: Final answer
    x = 32,898.12

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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.