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Finding the Fourth Proportional to 38,301.50, 52,857.48 and 21,307.70

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Solution

The fourth proportional to 38,301.50, 52,857.48 and 21,307.70 is: 29,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301.50 : 52,857.48 = 21,307.70 : x
  2. Step 2: Convert to fraction form
    38,301.50/52,857.48 = 21,307.70/x
  3. Step 3: Cross multiply
    38,301.50x = 52,857.48 × 21,307.70
  4. Step 4: Simplify right side
    38,301.50x = 1,126,271,062.31
  5. Step 5: Solve for x
    x = 1,126,271,062.31/38,301.50
  6. Step 6: Final answer
    x = 29,405.41

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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.