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Finding the Fourth Proportional to 76,567.84, 114,734.80 and 32,170.32

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Solution

The fourth proportional to 76,567.84, 114,734.80 and 32,170.32 is: 48,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,567.84 : 114,734.80 = 32,170.32 : x
  2. Step 2: Convert to fraction form
    76,567.84/114,734.80 = 32,170.32/x
  3. Step 3: Cross multiply
    76,567.84x = 114,734.80 × 32,170.32
  4. Step 4: Simplify right side
    76,567.84x = 3,691,055,231.14
  5. Step 5: Solve for x
    x = 3,691,055,231.14/76,567.84
  6. Step 6: Final answer
    x = 48,206.34

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1.5x scale

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.