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Finding the Fourth Proportional to 76,391.60, 114,587.40 and 20,231.60

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Solution

The fourth proportional to 76,391.60, 114,587.40 and 20,231.60 is: 30,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,391.60 : 114,587.40 = 20,231.60 : x
  2. Step 2: Convert to fraction form
    76,391.60/114,587.40 = 20,231.60/x
  3. Step 3: Cross multiply
    76,391.60x = 114,587.40 × 20,231.60
  4. Step 4: Simplify right side
    76,391.60x = 2,318,286,441.84
  5. Step 5: Solve for x
    x = 2,318,286,441.84/76,391.60
  6. Step 6: Final answer
    x = 30,347.40

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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.