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Finding the Fourth Proportional to 103,682.16, 155,547.96 and 33,561.49

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Solution

The fourth proportional to 103,682.16, 155,547.96 and 33,561.49 is: 50,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682.16 : 155,547.96 = 33,561.49 : x
  2. Step 2: Convert to fraction form
    103,682.16/155,547.96 = 33,561.49/x
  3. Step 3: Cross multiply
    103,682.16x = 155,547.96 × 33,561.49
  4. Step 4: Simplify right side
    103,682.16x = 5,220,421,304.06
  5. Step 5: Solve for x
    x = 5,220,421,304.06/103,682.16
  6. Step 6: Final answer
    x = 50,350.24

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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.