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Finding the Fourth Proportional to 70,642.96, 105,895.32 and 33,732.88

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Solution

The fourth proportional to 70,642.96, 105,895.32 and 33,732.88 is: 50,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642.96 : 105,895.32 = 33,732.88 : x
  2. Step 2: Convert to fraction form
    70,642.96/105,895.32 = 33,732.88/x
  3. Step 3: Cross multiply
    70,642.96x = 105,895.32 × 33,732.88
  4. Step 4: Simplify right side
    70,642.96x = 3,572,154,122.12
  5. Step 5: Solve for x
    x = 3,572,154,122.12/70,642.96
  6. Step 6: Final answer
    x = 50,566.31

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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.