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Finding the Fourth Proportional to 53,644, 74,030 and 30,092

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Solution

The fourth proportional to 53,644, 74,030 and 30,092 is: 41,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644 : 74,030 = 30,092 : x
  2. Step 2: Convert to fraction form
    53,644/74,030 = 30,092/x
  3. Step 3: Cross multiply
    53,644x = 74,030 × 30,092
  4. Step 4: Simplify right side
    53,644x = 2,227,710,760
  5. Step 5: Solve for x
    x = 2,227,710,760/53,644
  6. Step 6: Final answer
    x = 41,527.68

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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.