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Finding the Fourth Proportional to 40,412.99, 55,770.01 and 23,420.51

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Solution

The fourth proportional to 40,412.99, 55,770.01 and 23,420.51 is: 32,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,412.99 : 55,770.01 = 23,420.51 : x
  2. Step 2: Convert to fraction form
    40,412.99/55,770.01 = 23,420.51/x
  3. Step 3: Cross multiply
    40,412.99x = 55,770.01 × 23,420.51
  4. Step 4: Simplify right side
    40,412.99x = 1,306,161,739.50
  5. Step 5: Solve for x
    x = 1,306,161,739.50/40,412.99
  6. Step 6: Final answer
    x = 32,320.34

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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.