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Finding the Fourth Proportional to 75,092.10, 103,627.11 and 46,797.90

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Solution

The fourth proportional to 75,092.10, 103,627.11 and 46,797.90 is: 64,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,092.10 : 103,627.11 = 46,797.90 : x
  2. Step 2: Convert to fraction form
    75,092.10/103,627.11 = 46,797.90/x
  3. Step 3: Cross multiply
    75,092.10x = 103,627.11 × 46,797.90
  4. Step 4: Simplify right side
    75,092.10x = 4,849,531,131.07
  5. Step 5: Solve for x
    x = 4,849,531,131.07/75,092.10
  6. Step 6: Final answer
    x = 64,581.11

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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.