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Finding the Fourth Proportional to 65,817.24, 90,733.32 and 46,921.56

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Solution

The fourth proportional to 65,817.24, 90,733.32 and 46,921.56 is: 64,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,817.24 : 90,733.32 = 46,921.56 : x
  2. Step 2: Convert to fraction form
    65,817.24/90,733.32 = 46,921.56/x
  3. Step 3: Cross multiply
    65,817.24x = 90,733.32 × 46,921.56
  4. Step 4: Simplify right side
    65,817.24x = 4,257,348,918.38
  5. Step 5: Solve for x
    x = 4,257,348,918.38/65,817.24
  6. Step 6: Final answer
    x = 64,684.40

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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.