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Finding the Fourth Proportional to 55,201.80, 82,802.70 and 13,648.80

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Solution

The fourth proportional to 55,201.80, 82,802.70 and 13,648.80 is: 20,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201.80 : 82,802.70 = 13,648.80 : x
  2. Step 2: Convert to fraction form
    55,201.80/82,802.70 = 13,648.80/x
  3. Step 3: Cross multiply
    55,201.80x = 82,802.70 × 13,648.80
  4. Step 4: Simplify right side
    55,201.80x = 1,130,157,491.76
  5. Step 5: Solve for x
    x = 1,130,157,491.76/55,201.80
  6. Step 6: Final answer
    x = 20,473.20

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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.