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Finding the Fourth Proportional to 76,000.16, 114,023.32 and 53,856.38

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Solution

The fourth proportional to 76,000.16, 114,023.32 and 53,856.38 is: 80,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000.16 : 114,023.32 = 53,856.38 : x
  2. Step 2: Convert to fraction form
    76,000.16/114,023.32 = 53,856.38/x
  3. Step 3: Cross multiply
    76,000.16x = 114,023.32 × 53,856.38
  4. Step 4: Simplify right side
    76,000.16x = 6,140,883,250.78
  5. Step 5: Solve for x
    x = 6,140,883,250.78/76,000.16
  6. Step 6: Final answer
    x = 80,800.93

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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.