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Finding the Fourth Proportional to 38,112.52, 52,597.16 and 23,004.94

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Solution

The fourth proportional to 38,112.52, 52,597.16 and 23,004.94 is: 31,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,112.52 : 52,597.16 = 23,004.94 : x
  2. Step 2: Convert to fraction form
    38,112.52/52,597.16 = 23,004.94/x
  3. Step 3: Cross multiply
    38,112.52x = 52,597.16 × 23,004.94
  4. Step 4: Simplify right side
    38,112.52x = 1,209,994,509.97
  5. Step 5: Solve for x
    x = 1,209,994,509.97/38,112.52
  6. Step 6: Final answer
    x = 31,747.95

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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.