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Finding the Fourth Proportional to 73,724.56, 110,547.96 and 32,148.88

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Solution

The fourth proportional to 73,724.56, 110,547.96 and 32,148.88 is: 48,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,724.56 : 110,547.96 = 32,148.88 : x
  2. Step 2: Convert to fraction form
    73,724.56/110,547.96 = 32,148.88/x
  3. Step 3: Cross multiply
    73,724.56x = 110,547.96 × 32,148.88
  4. Step 4: Simplify right side
    73,724.56x = 3,553,993,100.28
  5. Step 5: Solve for x
    x = 3,553,993,100.28/73,724.56
  6. Step 6: Final answer
    x = 48,206.37

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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.