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Finding the Fourth Proportional to 38,527.40, 53,165.47 and 22,393.49

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Solution

The fourth proportional to 38,527.40, 53,165.47 and 22,393.49 is: 30,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,527.40 : 53,165.47 = 22,393.49 : x
  2. Step 2: Convert to fraction form
    38,527.40/53,165.47 = 22,393.49/x
  3. Step 3: Cross multiply
    38,527.40x = 53,165.47 × 22,393.49
  4. Step 4: Simplify right side
    38,527.40x = 1,190,560,420.79
  5. Step 5: Solve for x
    x = 1,190,560,420.79/38,527.40
  6. Step 6: Final answer
    x = 30,901.65

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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.