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Finding the Fourth Proportional to 70,633.58, 105,933.92 and 26,281.22

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Solution

The fourth proportional to 70,633.58, 105,933.92 and 26,281.22 is: 39,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,633.58 : 105,933.92 = 26,281.22 : x
  2. Step 2: Convert to fraction form
    70,633.58/105,933.92 = 26,281.22/x
  3. Step 3: Cross multiply
    70,633.58x = 105,933.92 × 26,281.22
  4. Step 4: Simplify right side
    70,633.58x = 2,784,071,995.91
  5. Step 5: Solve for x
    x = 2,784,071,995.91/70,633.58
  6. Step 6: Final answer
    x = 39,415.70

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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.