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Finding the Fourth Proportional to 32,653.08, 48,978.54 and 14,185.08

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Solution

The fourth proportional to 32,653.08, 48,978.54 and 14,185.08 is: 21,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653.08 : 48,978.54 = 14,185.08 : x
  2. Step 2: Convert to fraction form
    32,653.08/48,978.54 = 14,185.08/x
  3. Step 3: Cross multiply
    32,653.08x = 48,978.54 × 14,185.08
  4. Step 4: Simplify right side
    32,653.08x = 694,764,508.18
  5. Step 5: Solve for x
    x = 694,764,508.18/32,653.08
  6. Step 6: Final answer
    x = 21,277.15

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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.