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Finding the Fourth Proportional to 32,305.97, 48,461.59 and 8,932.41

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Solution

The fourth proportional to 32,305.97, 48,461.59 and 8,932.41 is: 13,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,305.97 : 48,461.59 = 8,932.41 : x
  2. Step 2: Convert to fraction form
    32,305.97/48,461.59 = 8,932.41/x
  3. Step 3: Cross multiply
    32,305.97x = 48,461.59 × 8,932.41
  4. Step 4: Simplify right side
    32,305.97x = 432,878,802.30
  5. Step 5: Solve for x
    x = 432,878,802.30/32,305.97
  6. Step 6: Final answer
    x = 13,399.34

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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.