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Finding the Fourth Proportional to 92,411.17, 138,615.54 and 22,289.92

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Solution

The fourth proportional to 92,411.17, 138,615.54 and 22,289.92 is: 33,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,411.17 : 138,615.54 = 22,289.92 : x
  2. Step 2: Convert to fraction form
    92,411.17/138,615.54 = 22,289.92/x
  3. Step 3: Cross multiply
    92,411.17x = 138,615.54 × 22,289.92
  4. Step 4: Simplify right side
    92,411.17x = 3,089,729,297.36
  5. Step 5: Solve for x
    x = 3,089,729,297.36/92,411.17
  6. Step 6: Final answer
    x = 33,434.59

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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.