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Finding the Fourth Proportional to 76,500.30, 114,750.45 and 32,112.30

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Solution

The fourth proportional to 76,500.30, 114,750.45 and 32,112.30 is: 48,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,500.30 : 114,750.45 = 32,112.30 : x
  2. Step 2: Convert to fraction form
    76,500.30/114,750.45 = 32,112.30/x
  3. Step 3: Cross multiply
    76,500.30x = 114,750.45 × 32,112.30
  4. Step 4: Simplify right side
    76,500.30x = 3,684,900,875.54
  5. Step 5: Solve for x
    x = 3,684,900,875.54/76,500.30
  6. Step 6: Final answer
    x = 48,168.45

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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.