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Finding the Fourth Proportional to 102,393.80, 153,606.90 and 35,832.32

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Solution

The fourth proportional to 102,393.80, 153,606.90 and 35,832.32 is: 53,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,393.80 : 153,606.90 = 35,832.32 : x
  2. Step 2: Convert to fraction form
    102,393.80/153,606.90 = 35,832.32/x
  3. Step 3: Cross multiply
    102,393.80x = 153,606.90 × 35,832.32
  4. Step 4: Simplify right side
    102,393.80x = 5,504,091,595.01
  5. Step 5: Solve for x
    x = 5,504,091,595.01/102,393.80
  6. Step 6: Final answer
    x = 53,754.15

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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.