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Finding the Fourth Proportional to 38,500, 53,130.16 and 20,836

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Solution

The fourth proportional to 38,500, 53,130.16 and 20,836 is: 28,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,500 : 53,130.16 = 20,836 : x
  2. Step 2: Convert to fraction form
    38,500/53,130.16 = 20,836/x
  3. Step 3: Cross multiply
    38,500x = 53,130.16 × 20,836
  4. Step 4: Simplify right side
    38,500x = 1,107,020,013.76
  5. Step 5: Solve for x
    x = 1,107,020,013.76/38,500
  6. Step 6: Final answer
    x = 28,753.77

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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.