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Finding the Fourth Proportional to 55,210.50, 82,815.75 and 13,657.50

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Solution

The fourth proportional to 55,210.50, 82,815.75 and 13,657.50 is: 20,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,210.50 : 82,815.75 = 13,657.50 : x
  2. Step 2: Convert to fraction form
    55,210.50/82,815.75 = 13,657.50/x
  3. Step 3: Cross multiply
    55,210.50x = 82,815.75 × 13,657.50
  4. Step 4: Simplify right side
    55,210.50x = 1,131,056,105.63
  5. Step 5: Solve for x
    x = 1,131,056,105.63/55,210.50
  6. Step 6: Final answer
    x = 20,486.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.