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Finding the Fourth Proportional to 41,225.64, 56,864.88 and 27,614.40

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Solution

The fourth proportional to 41,225.64, 56,864.88 and 27,614.40 is: 38,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,225.64 : 56,864.88 = 27,614.40 : x
  2. Step 2: Convert to fraction form
    41,225.64/56,864.88 = 27,614.40/x
  3. Step 3: Cross multiply
    41,225.64x = 56,864.88 × 27,614.40
  4. Step 4: Simplify right side
    41,225.64x = 1,570,289,542.27
  5. Step 5: Solve for x
    x = 1,570,289,542.27/41,225.64
  6. Step 6: Final answer
    x = 38,090.12

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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.