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Finding the Fourth Proportional to 48,802.96, 73,204.92 and 13,743.28

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Solution

The fourth proportional to 48,802.96, 73,204.92 and 13,743.28 is: 20,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,802.96 : 73,204.92 = 13,743.28 : x
  2. Step 2: Convert to fraction form
    48,802.96/73,204.92 = 13,743.28/x
  3. Step 3: Cross multiply
    48,802.96x = 73,204.92 × 13,743.28
  4. Step 4: Simplify right side
    48,802.96x = 1,006,075,712.94
  5. Step 5: Solve for x
    x = 1,006,075,712.94/48,802.96
  6. Step 6: Final answer
    x = 20,615.06

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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.