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Finding the Fourth Proportional to 76,374.80, 114,562.20 and 54,213.20

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Solution

The fourth proportional to 76,374.80, 114,562.20 and 54,213.20 is: 81,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,374.80 : 114,562.20 = 54,213.20 : x
  2. Step 2: Convert to fraction form
    76,374.80/114,562.20 = 54,213.20/x
  3. Step 3: Cross multiply
    76,374.80x = 114,562.20 × 54,213.20
  4. Step 4: Simplify right side
    76,374.80x = 6,210,783,461.04
  5. Step 5: Solve for x
    x = 6,210,783,461.04/76,374.80
  6. Step 6: Final answer
    x = 81,319.80

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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.