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Finding the Fourth Proportional to 76,253.94, 114,458.34 and 36,844.20

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Solution

The fourth proportional to 76,253.94, 114,458.34 and 36,844.20 is: 55,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,253.94 : 114,458.34 = 36,844.20 : x
  2. Step 2: Convert to fraction form
    76,253.94/114,458.34 = 36,844.20/x
  3. Step 3: Cross multiply
    76,253.94x = 114,458.34 × 36,844.20
  4. Step 4: Simplify right side
    76,253.94x = 4,217,125,970.63
  5. Step 5: Solve for x
    x = 4,217,125,970.63/76,253.94
  6. Step 6: Final answer
    x = 55,303.71

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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.