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Finding the Fourth Proportional to 115,144, 172,716 and 32,040.16

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Solution

The fourth proportional to 115,144, 172,716 and 32,040.16 is: 48,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,144 : 172,716 = 32,040.16 : x
  2. Step 2: Convert to fraction form
    115,144/172,716 = 32,040.16/x
  3. Step 3: Cross multiply
    115,144x = 172,716 × 32,040.16
  4. Step 4: Simplify right side
    115,144x = 5,533,848,274.56
  5. Step 5: Solve for x
    x = 5,533,848,274.56/115,144
  6. Step 6: Final answer
    x = 48,060.24

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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.