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Finding the Fourth Proportional to 56,419.28, 84,615 and 23,148.80

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Solution

The fourth proportional to 56,419.28, 84,615 and 23,148.80 is: 34,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,419.28 : 84,615 = 23,148.80 : x
  2. Step 2: Convert to fraction form
    56,419.28/84,615 = 23,148.80/x
  3. Step 3: Cross multiply
    56,419.28x = 84,615 × 23,148.80
  4. Step 4: Simplify right side
    56,419.28x = 1,958,735,712
  5. Step 5: Solve for x
    x = 1,958,735,712/56,419.28
  6. Step 6: Final answer
    x = 34,717.49

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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.