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Finding the Fourth Proportional to 48,509.20, 72,706.20 and 20,429.20

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Solution

The fourth proportional to 48,509.20, 72,706.20 and 20,429.20 is: 30,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,509.20 : 72,706.20 = 20,429.20 : x
  2. Step 2: Convert to fraction form
    48,509.20/72,706.20 = 20,429.20/x
  3. Step 3: Cross multiply
    48,509.20x = 72,706.20 × 20,429.20
  4. Step 4: Simplify right side
    48,509.20x = 1,485,329,501.04
  5. Step 5: Solve for x
    x = 1,485,329,501.04/48,509.20
  6. Step 6: Final answer
    x = 30,619.54

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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.