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Finding the Fourth Proportional to 38,510, 53,143.80 and 21,744.08

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Solution

The fourth proportional to 38,510, 53,143.80 and 21,744.08 is: 30,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510 : 53,143.80 = 21,744.08 : x
  2. Step 2: Convert to fraction form
    38,510/53,143.80 = 21,744.08/x
  3. Step 3: Cross multiply
    38,510x = 53,143.80 × 21,744.08
  4. Step 4: Simplify right side
    38,510x = 1,155,563,038.70
  5. Step 5: Solve for x
    x = 1,155,563,038.70/38,510
  6. Step 6: Final answer
    x = 30,006.83

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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.