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Finding the Fourth Proportional to 43,364, 59,842.68 and 23,492

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Solution

The fourth proportional to 43,364, 59,842.68 and 23,492 is: 32,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,364 : 59,842.68 = 23,492 : x
  2. Step 2: Convert to fraction form
    43,364/59,842.68 = 23,492/x
  3. Step 3: Cross multiply
    43,364x = 59,842.68 × 23,492
  4. Step 4: Simplify right side
    43,364x = 1,405,824,238.56
  5. Step 5: Solve for x
    x = 1,405,824,238.56/43,364
  6. Step 6: Final answer
    x = 32,419.16

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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.