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Finding the Fourth Proportional to 43,602.48, 65,298.53 and 24,825.54

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Solution

The fourth proportional to 43,602.48, 65,298.53 and 24,825.54 is: 37,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,602.48 : 65,298.53 = 24,825.54 : x
  2. Step 2: Convert to fraction form
    43,602.48/65,298.53 = 24,825.54/x
  3. Step 3: Cross multiply
    43,602.48x = 65,298.53 × 24,825.54
  4. Step 4: Simplify right side
    43,602.48x = 1,621,071,144.33
  5. Step 5: Solve for x
    x = 1,621,071,144.33/43,602.48
  6. Step 6: Final answer
    x = 37,178.42

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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.