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Finding the Fourth Proportional to 53,515.64, 73,852.20 and 29,642.78

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Solution

The fourth proportional to 53,515.64, 73,852.20 and 29,642.78 is: 40,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,515.64 : 73,852.20 = 29,642.78 : x
  2. Step 2: Convert to fraction form
    53,515.64/73,852.20 = 29,642.78/x
  3. Step 3: Cross multiply
    53,515.64x = 73,852.20 × 29,642.78
  4. Step 4: Simplify right side
    53,515.64x = 2,189,184,517.12
  5. Step 5: Solve for x
    x = 2,189,184,517.12/53,515.64
  6. Step 6: Final answer
    x = 40,907.38

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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.