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Finding the Fourth Proportional to 76,000.25, 114,000.78 and 20,596.25

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Solution

The fourth proportional to 76,000.25, 114,000.78 and 20,596.25 is: 30,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000.25 : 114,000.78 = 20,596.25 : x
  2. Step 2: Convert to fraction form
    76,000.25/114,000.78 = 20,596.25/x
  3. Step 3: Cross multiply
    76,000.25x = 114,000.78 × 20,596.25
  4. Step 4: Simplify right side
    76,000.25x = 2,347,988,565.08
  5. Step 5: Solve for x
    x = 2,347,988,565.08/76,000.25
  6. Step 6: Final answer
    x = 30,894.48

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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.