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Finding the Fourth Proportional to 38,243.84, 52,777.68 and 21,477.20

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Solution

The fourth proportional to 38,243.84, 52,777.68 and 21,477.20 is: 29,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,243.84 : 52,777.68 = 21,477.20 : x
  2. Step 2: Convert to fraction form
    38,243.84/52,777.68 = 21,477.20/x
  3. Step 3: Cross multiply
    38,243.84x = 52,777.68 × 21,477.20
  4. Step 4: Simplify right side
    38,243.84x = 1,133,516,788.90
  5. Step 5: Solve for x
    x = 1,133,516,788.90/38,243.84
  6. Step 6: Final answer
    x = 29,639.20

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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.