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Finding the Fourth Proportional to 76,852.52, 115,290.70 and 32,479.46

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Solution

The fourth proportional to 76,852.52, 115,290.70 and 32,479.46 is: 48,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852.52 : 115,290.70 = 32,479.46 : x
  2. Step 2: Convert to fraction form
    76,852.52/115,290.70 = 32,479.46/x
  3. Step 3: Cross multiply
    76,852.52x = 115,290.70 × 32,479.46
  4. Step 4: Simplify right side
    76,852.52x = 3,744,579,679.02
  5. Step 5: Solve for x
    x = 3,744,579,679.02/76,852.52
  6. Step 6: Final answer
    x = 48,724.23

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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.