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Finding the Fourth Proportional to 59,628.48, 89,454.06 and 20,175

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Solution

The fourth proportional to 59,628.48, 89,454.06 and 20,175 is: 30,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,628.48 : 89,454.06 = 20,175 : x
  2. Step 2: Convert to fraction form
    59,628.48/89,454.06 = 20,175/x
  3. Step 3: Cross multiply
    59,628.48x = 89,454.06 × 20,175
  4. Step 4: Simplify right side
    59,628.48x = 1,804,735,660.50
  5. Step 5: Solve for x
    x = 1,804,735,660.50/59,628.48
  6. Step 6: Final answer
    x = 30,266.34

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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.