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Finding the Fourth Proportional to 32,165.32, 48,208.98 and 14,617.48

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Solution

The fourth proportional to 32,165.32, 48,208.98 and 14,617.48 is: 21,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.32 : 48,208.98 = 14,617.48 : x
  2. Step 2: Convert to fraction form
    32,165.32/48,208.98 = 14,617.48/x
  3. Step 3: Cross multiply
    32,165.32x = 48,208.98 × 14,617.48
  4. Step 4: Simplify right side
    32,165.32x = 704,693,800.97
  5. Step 5: Solve for x
    x = 704,693,800.97/32,165.32
  6. Step 6: Final answer
    x = 21,908.50

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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.