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Finding the Fourth Proportional to 92,033.28, 138,048.48 and 29,708.64

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Solution

The fourth proportional to 92,033.28, 138,048.48 and 29,708.64 is: 44,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,033.28 : 138,048.48 = 29,708.64 : x
  2. Step 2: Convert to fraction form
    92,033.28/138,048.48 = 29,708.64/x
  3. Step 3: Cross multiply
    92,033.28x = 138,048.48 × 29,708.64
  4. Step 4: Simplify right side
    92,033.28x = 4,101,232,594.87
  5. Step 5: Solve for x
    x = 4,101,232,594.87/92,033.28
  6. Step 6: Final answer
    x = 44,562.50

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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.