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Finding the Fourth Proportional to 85,106.88, 117,446.53 and 46,865.66

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Solution

The fourth proportional to 85,106.88, 117,446.53 and 46,865.66 is: 64,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,106.88 : 117,446.53 = 46,865.66 : x
  2. Step 2: Convert to fraction form
    85,106.88/117,446.53 = 46,865.66/x
  3. Step 3: Cross multiply
    85,106.88x = 117,446.53 × 46,865.66
  4. Step 4: Simplify right side
    85,106.88x = 5,504,209,649.40
  5. Step 5: Solve for x
    x = 5,504,209,649.40/85,106.88
  6. Step 6: Final answer
    x = 64,674.09

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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.