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Finding the Fourth Proportional to 53,802.12, 80,716.16 and 16,866.12

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Solution

The fourth proportional to 53,802.12, 80,716.16 and 16,866.12 is: 25,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802.12 : 80,716.16 = 16,866.12 : x
  2. Step 2: Convert to fraction form
    53,802.12/80,716.16 = 16,866.12/x
  3. Step 3: Cross multiply
    53,802.12x = 80,716.16 × 16,866.12
  4. Step 4: Simplify right side
    53,802.12x = 1,361,368,440.50
  5. Step 5: Solve for x
    x = 1,361,368,440.50/53,802.12
  6. Step 6: Final answer
    x = 25,303.25

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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.