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Finding the Fourth Proportional to 43,419.80, 65,129.70 and 25,632.20

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Solution

The fourth proportional to 43,419.80, 65,129.70 and 25,632.20 is: 38,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,419.80 : 65,129.70 = 25,632.20 : x
  2. Step 2: Convert to fraction form
    43,419.80/65,129.70 = 25,632.20/x
  3. Step 3: Cross multiply
    43,419.80x = 65,129.70 × 25,632.20
  4. Step 4: Simplify right side
    43,419.80x = 1,669,417,496.34
  5. Step 5: Solve for x
    x = 1,669,417,496.34/43,419.80
  6. Step 6: Final answer
    x = 38,448.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.