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Finding the Fourth Proportional to 43,458, 59,972.76 and 23,586

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Solution

The fourth proportional to 43,458, 59,972.76 and 23,586 is: 32,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,458 : 59,972.76 = 23,586 : x
  2. Step 2: Convert to fraction form
    43,458/59,972.76 = 23,586/x
  3. Step 3: Cross multiply
    43,458x = 59,972.76 × 23,586
  4. Step 4: Simplify right side
    43,458x = 1,414,517,517.36
  5. Step 5: Solve for x
    x = 1,414,517,517.36/43,458
  6. Step 6: Final answer
    x = 32,549.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.