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Finding the Fourth Proportional to 76,000.10, 114,000.15 and 44,896.10

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Solution

The fourth proportional to 76,000.10, 114,000.15 and 44,896.10 is: 67,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000.10 : 114,000.15 = 44,896.10 : x
  2. Step 2: Convert to fraction form
    76,000.10/114,000.15 = 44,896.10/x
  3. Step 3: Cross multiply
    76,000.10x = 114,000.15 × 44,896.10
  4. Step 4: Simplify right side
    76,000.10x = 5,118,162,134.42
  5. Step 5: Solve for x
    x = 5,118,162,134.42/76,000.10
  6. Step 6: Final answer
    x = 67,344.15

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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.