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Finding the Fourth Proportional to 76,330.80, 114,496.20 and 32,007.60

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Solution

The fourth proportional to 76,330.80, 114,496.20 and 32,007.60 is: 48,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,330.80 : 114,496.20 = 32,007.60 : x
  2. Step 2: Convert to fraction form
    76,330.80/114,496.20 = 32,007.60/x
  3. Step 3: Cross multiply
    76,330.80x = 114,496.20 × 32,007.60
  4. Step 4: Simplify right side
    76,330.80x = 3,664,748,571.12
  5. Step 5: Solve for x
    x = 3,664,748,571.12/76,330.80
  6. Step 6: Final answer
    x = 48,011.40

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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.