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Finding the Fourth Proportional to 76,152.88, 114,276.56 and 36,714

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Solution

The fourth proportional to 76,152.88, 114,276.56 and 36,714 is: 55,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,152.88 : 114,276.56 = 36,714 : x
  2. Step 2: Convert to fraction form
    76,152.88/114,276.56 = 36,714/x
  3. Step 3: Cross multiply
    76,152.88x = 114,276.56 × 36,714
  4. Step 4: Simplify right side
    76,152.88x = 4,195,549,623.84
  5. Step 5: Solve for x
    x = 4,195,549,623.84/76,152.88
  6. Step 6: Final answer
    x = 55,093.77

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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.