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Finding the Fourth Proportional to 43,842, 60,502.92 and 23,970

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Solution

The fourth proportional to 43,842, 60,502.92 and 23,970 is: 33,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842 : 60,502.92 = 23,970 : x
  2. Step 2: Convert to fraction form
    43,842/60,502.92 = 23,970/x
  3. Step 3: Cross multiply
    43,842x = 60,502.92 × 23,970
  4. Step 4: Simplify right side
    43,842x = 1,450,254,992.40
  5. Step 5: Solve for x
    x = 1,450,254,992.40/43,842
  6. Step 6: Final answer
    x = 33,079.12

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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.