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Finding the Fourth Proportional to 131,028, 196,543.28 and 32,532

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Solution

The fourth proportional to 131,028, 196,543.28 and 32,532 is: 48,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,028 : 196,543.28 = 32,532 : x
  2. Step 2: Convert to fraction form
    131,028/196,543.28 = 32,532/x
  3. Step 3: Cross multiply
    131,028x = 196,543.28 × 32,532
  4. Step 4: Simplify right side
    131,028x = 6,393,945,984.96
  5. Step 5: Solve for x
    x = 6,393,945,984.96/131,028
  6. Step 6: Final answer
    x = 48,798.32

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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.