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Finding the Fourth Proportional to 76,000.16, 114,002.18 and 36,009.76

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Solution

The fourth proportional to 76,000.16, 114,002.18 and 36,009.76 is: 54,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000.16 : 114,002.18 = 36,009.76 : x
  2. Step 2: Convert to fraction form
    76,000.16/114,002.18 = 36,009.76/x
  3. Step 3: Cross multiply
    76,000.16x = 114,002.18 × 36,009.76
  4. Step 4: Simplify right side
    76,000.16x = 4,105,191,141.28
  5. Step 5: Solve for x
    x = 4,105,191,141.28/76,000.16
  6. Step 6: Final answer
    x = 54,015.56

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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.