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Finding the Fourth Proportional to 73,570.32, 110,382.12 and 45,457.56

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Solution

The fourth proportional to 73,570.32, 110,382.12 and 45,457.56 is: 68,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,570.32 : 110,382.12 = 45,457.56 : x
  2. Step 2: Convert to fraction form
    73,570.32/110,382.12 = 45,457.56/x
  3. Step 3: Cross multiply
    73,570.32x = 110,382.12 × 45,457.56
  4. Step 4: Simplify right side
    73,570.32x = 5,017,701,842.83
  5. Step 5: Solve for x
    x = 5,017,701,842.83/73,570.32
  6. Step 6: Final answer
    x = 68,202.80

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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.