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Finding the Fourth Proportional to 27,592.48, 38,061.48 and 20,030

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Solution

The fourth proportional to 27,592.48, 38,061.48 and 20,030 is: 27,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,592.48 : 38,061.48 = 20,030 : x
  2. Step 2: Convert to fraction form
    27,592.48/38,061.48 = 20,030/x
  3. Step 3: Cross multiply
    27,592.48x = 38,061.48 × 20,030
  4. Step 4: Simplify right side
    27,592.48x = 762,371,444.40
  5. Step 5: Solve for x
    x = 762,371,444.40/27,592.48
  6. Step 6: Final answer
    x = 27,629.68

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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.