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Finding the Fourth Proportional to 101,810.34, 152,685.72 and 35,233.20

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Solution

The fourth proportional to 101,810.34, 152,685.72 and 35,233.20 is: 52,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,810.34 : 152,685.72 = 35,233.20 : x
  2. Step 2: Convert to fraction form
    101,810.34/152,685.72 = 35,233.20/x
  3. Step 3: Cross multiply
    101,810.34x = 152,685.72 × 35,233.20
  4. Step 4: Simplify right side
    101,810.34x = 5,379,606,509.90
  5. Step 5: Solve for x
    x = 5,379,606,509.90/101,810.34
  6. Step 6: Final answer
    x = 52,839.49

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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.