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Finding the Fourth Proportional to 75,203.56, 103,638.06 and 53,946.04

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Solution

The fourth proportional to 75,203.56, 103,638.06 and 53,946.04 is: 74,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,203.56 : 103,638.06 = 53,946.04 : x
  2. Step 2: Convert to fraction form
    75,203.56/103,638.06 = 53,946.04/x
  3. Step 3: Cross multiply
    75,203.56x = 103,638.06 × 53,946.04
  4. Step 4: Simplify right side
    75,203.56x = 5,590,862,930.28
  5. Step 5: Solve for x
    x = 5,590,862,930.28/75,203.56
  6. Step 6: Final answer
    x = 74,343.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.