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Finding the Fourth Proportional to 76,011.34, 114,041.62 and 36,563.32

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Solution

The fourth proportional to 76,011.34, 114,041.62 and 36,563.32 is: 54,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,011.34 : 114,041.62 = 36,563.32 : x
  2. Step 2: Convert to fraction form
    76,011.34/114,041.62 = 36,563.32/x
  3. Step 3: Cross multiply
    76,011.34x = 114,041.62 × 36,563.32
  4. Step 4: Simplify right side
    76,011.34x = 4,169,740,245.38
  5. Step 5: Solve for x
    x = 4,169,740,245.38/76,011.34
  6. Step 6: Final answer
    x = 54,856.82

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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.