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Finding the Fourth Proportional to 76,147.84, 105,096.50 and 52,254.88

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Solution

The fourth proportional to 76,147.84, 105,096.50 and 52,254.88 is: 72,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,147.84 : 105,096.50 = 52,254.88 : x
  2. Step 2: Convert to fraction form
    76,147.84/105,096.50 = 52,254.88/x
  3. Step 3: Cross multiply
    76,147.84x = 105,096.50 × 52,254.88
  4. Step 4: Simplify right side
    76,147.84x = 5,491,804,995.92
  5. Step 5: Solve for x
    x = 5,491,804,995.92/76,147.84
  6. Step 6: Final answer
    x = 72,120.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.