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Finding the Fourth Proportional to 39,724, 54,820.56 and 21,820.68

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Solution

The fourth proportional to 39,724, 54,820.56 and 21,820.68 is: 30,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,724 : 54,820.56 = 21,820.68 : x
  2. Step 2: Convert to fraction form
    39,724/54,820.56 = 21,820.68/x
  3. Step 3: Cross multiply
    39,724x = 54,820.56 × 21,820.68
  4. Step 4: Simplify right side
    39,724x = 1,196,221,897.18
  5. Step 5: Solve for x
    x = 1,196,221,897.18/39,724
  6. Step 6: Final answer
    x = 30,113.33

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