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Finding the Fourth Proportional to 70,303.74, 105,447.81 and 17,713.22

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Solution

The fourth proportional to 70,303.74, 105,447.81 and 17,713.22 is: 26,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,303.74 : 105,447.81 = 17,713.22 : x
  2. Step 2: Convert to fraction form
    70,303.74/105,447.81 = 17,713.22/x
  3. Step 3: Cross multiply
    70,303.74x = 105,447.81 × 17,713.22
  4. Step 4: Simplify right side
    70,303.74x = 1,867,820,257.05
  5. Step 5: Solve for x
    x = 1,867,820,257.05/70,303.74
  6. Step 6: Final answer
    x = 26,567.86

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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.