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Finding the Fourth Proportional to 76,563.20, 114,810.24 and 27,316.48

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Solution

The fourth proportional to 76,563.20, 114,810.24 and 27,316.48 is: 40,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,563.20 : 114,810.24 = 27,316.48 : x
  2. Step 2: Convert to fraction form
    76,563.20/114,810.24 = 27,316.48/x
  3. Step 3: Cross multiply
    76,563.20x = 114,810.24 × 27,316.48
  4. Step 4: Simplify right side
    76,563.20x = 3,136,211,624.76
  5. Step 5: Solve for x
    x = 3,136,211,624.76/76,563.20
  6. Step 6: Final answer
    x = 40,962.39

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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.