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Finding the Fourth Proportional to 65,944.94, 91,004.13 and 35,730.26

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Solution

The fourth proportional to 65,944.94, 91,004.13 and 35,730.26 is: 49,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,944.94 : 91,004.13 = 35,730.26 : x
  2. Step 2: Convert to fraction form
    65,944.94/91,004.13 = 35,730.26/x
  3. Step 3: Cross multiply
    65,944.94x = 91,004.13 × 35,730.26
  4. Step 4: Simplify right side
    65,944.94x = 3,251,601,225.97
  5. Step 5: Solve for x
    x = 3,251,601,225.97/65,944.94
  6. Step 6: Final answer
    x = 49,307.82

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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.