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Finding the Fourth Proportional to 47,153.88, 65,086.16 and 28,047.11

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Solution

The fourth proportional to 47,153.88, 65,086.16 and 28,047.11 is: 38,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,153.88 : 65,086.16 = 28,047.11 : x
  2. Step 2: Convert to fraction form
    47,153.88/65,086.16 = 28,047.11/x
  3. Step 3: Cross multiply
    47,153.88x = 65,086.16 × 28,047.11
  4. Step 4: Simplify right side
    47,153.88x = 1,825,478,223.33
  5. Step 5: Solve for x
    x = 1,825,478,223.33/47,153.88
  6. Step 6: Final answer
    x = 38,713.21

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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.