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Finding the Fourth Proportional to 76,000.40, 114,000.60 and 41,008.40

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Solution

The fourth proportional to 76,000.40, 114,000.60 and 41,008.40 is: 61,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000.40 : 114,000.60 = 41,008.40 : x
  2. Step 2: Convert to fraction form
    76,000.40/114,000.60 = 41,008.40/x
  3. Step 3: Cross multiply
    76,000.40x = 114,000.60 × 41,008.40
  4. Step 4: Simplify right side
    76,000.40x = 4,674,982,205.04
  5. Step 5: Solve for x
    x = 4,674,982,205.04/76,000.40
  6. Step 6: Final answer
    x = 61,512.60

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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.