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Finding the Fourth Proportional to 38,041.50, 52,497.45 and 21,274.50

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Solution

The fourth proportional to 38,041.50, 52,497.45 and 21,274.50 is: 29,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,041.50 : 52,497.45 = 21,274.50 : x
  2. Step 2: Convert to fraction form
    38,041.50/52,497.45 = 21,274.50/x
  3. Step 3: Cross multiply
    38,041.50x = 52,497.45 × 21,274.50
  4. Step 4: Simplify right side
    38,041.50x = 1,116,857,000.03
  5. Step 5: Solve for x
    x = 1,116,857,000.03/38,041.50
  6. Step 6: Final answer
    x = 29,358.91

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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.