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Finding the Fourth Proportional to 42,733.32, 58,966.68 and 23,874

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Solution

The fourth proportional to 42,733.32, 58,966.68 and 23,874 is: 32,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,733.32 : 58,966.68 = 23,874 : x
  2. Step 2: Convert to fraction form
    42,733.32/58,966.68 = 23,874/x
  3. Step 3: Cross multiply
    42,733.32x = 58,966.68 × 23,874
  4. Step 4: Simplify right side
    42,733.32x = 1,407,770,518.32
  5. Step 5: Solve for x
    x = 1,407,770,518.32/42,733.32
  6. Step 6: Final answer
    x = 32,943.16

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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.