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Finding the Fourth Proportional to 76,752.46, 114,962.04 and 37,226.50

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Solution

The fourth proportional to 76,752.46, 114,962.04 and 37,226.50 is: 55,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752.46 : 114,962.04 = 37,226.50 : x
  2. Step 2: Convert to fraction form
    76,752.46/114,962.04 = 37,226.50/x
  3. Step 3: Cross multiply
    76,752.46x = 114,962.04 × 37,226.50
  4. Step 4: Simplify right side
    76,752.46x = 4,279,634,382.06
  5. Step 5: Solve for x
    x = 4,279,634,382.06/76,752.46
  6. Step 6: Final answer
    x = 55,758.92

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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.