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Finding the Fourth Proportional to 38,708.40, 53,416.08 and 21,941.04

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Solution

The fourth proportional to 38,708.40, 53,416.08 and 21,941.04 is: 30,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,708.40 : 53,416.08 = 21,941.04 : x
  2. Step 2: Convert to fraction form
    38,708.40/53,416.08 = 21,941.04/x
  3. Step 3: Cross multiply
    38,708.40x = 53,416.08 × 21,941.04
  4. Step 4: Simplify right side
    38,708.40x = 1,172,004,347.92
  5. Step 5: Solve for x
    x = 1,172,004,347.92/38,708.40
  6. Step 6: Final answer
    x = 30,277.78

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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.