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Finding the Fourth Proportional to 155,832.75, 233,788.01 and 45,024.75

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Solution

The fourth proportional to 155,832.75, 233,788.01 and 45,024.75 is: 67,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,832.75 : 233,788.01 = 45,024.75 : x
  2. Step 2: Convert to fraction form
    155,832.75/233,788.01 = 45,024.75/x
  3. Step 3: Cross multiply
    155,832.75x = 233,788.01 × 45,024.75
  4. Step 4: Simplify right side
    155,832.75x = 10,526,246,478.12
  5. Step 5: Solve for x
    x = 10,526,246,478.12/155,832.75
  6. Step 6: Final answer
    x = 67,548.36

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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.