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Finding the Fourth Proportional to 38,483, 53,107.36 and 21,255.28

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Solution

The fourth proportional to 38,483, 53,107.36 and 21,255.28 is: 29,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,483 : 53,107.36 = 21,255.28 : x
  2. Step 2: Convert to fraction form
    38,483/53,107.36 = 21,255.28/x
  3. Step 3: Cross multiply
    38,483x = 53,107.36 × 21,255.28
  4. Step 4: Simplify right side
    38,483x = 1,128,811,806.86
  5. Step 5: Solve for x
    x = 1,128,811,806.86/38,483
  6. Step 6: Final answer
    x = 29,332.74

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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.