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Finding the Fourth Proportional to 71,770.32, 99,048.42 and 41,563.80

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Solution

The fourth proportional to 71,770.32, 99,048.42 and 41,563.80 is: 57,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770.32 : 99,048.42 = 41,563.80 : x
  2. Step 2: Convert to fraction form
    71,770.32/99,048.42 = 41,563.80/x
  3. Step 3: Cross multiply
    71,770.32x = 99,048.42 × 41,563.80
  4. Step 4: Simplify right side
    71,770.32x = 4,116,828,719.20
  5. Step 5: Solve for x
    x = 4,116,828,719.20/71,770.32
  6. Step 6: Final answer
    x = 57,361.16

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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.