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Finding the Fourth Proportional to 72,525.82, 108,794 and 30,363.50

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Solution

The fourth proportional to 72,525.82, 108,794 and 30,363.50 is: 45,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,525.82 : 108,794 = 30,363.50 : x
  2. Step 2: Convert to fraction form
    72,525.82/108,794 = 30,363.50/x
  3. Step 3: Cross multiply
    72,525.82x = 108,794 × 30,363.50
  4. Step 4: Simplify right side
    72,525.82x = 3,303,366,619
  5. Step 5: Solve for x
    x = 3,303,366,619/72,525.82
  6. Step 6: Final answer
    x = 45,547.46

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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.