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Finding the Fourth Proportional to 35,308.44, 48,704.76 and 24,111

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Solution

The fourth proportional to 35,308.44, 48,704.76 and 24,111 is: 33,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,308.44 : 48,704.76 = 24,111 : x
  2. Step 2: Convert to fraction form
    35,308.44/48,704.76 = 24,111/x
  3. Step 3: Cross multiply
    35,308.44x = 48,704.76 × 24,111
  4. Step 4: Simplify right side
    35,308.44x = 1,174,320,468.36
  5. Step 5: Solve for x
    x = 1,174,320,468.36/35,308.44
  6. Step 6: Final answer
    x = 33,258.92

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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.