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Finding the Fourth Proportional to 51,984.86, 71,750.21 and 32,852.45

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Solution

The fourth proportional to 51,984.86, 71,750.21 and 32,852.45 is: 45,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,984.86 : 71,750.21 = 32,852.45 : x
  2. Step 2: Convert to fraction form
    51,984.86/71,750.21 = 32,852.45/x
  3. Step 3: Cross multiply
    51,984.86x = 71,750.21 × 32,852.45
  4. Step 4: Simplify right side
    51,984.86x = 2,357,170,201.63
  5. Step 5: Solve for x
    x = 2,357,170,201.63/51,984.86
  6. Step 6: Final answer
    x = 45,343.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.