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Finding the Fourth Proportional to 48,508.16, 72,790.14 and 20,426

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Solution

The fourth proportional to 48,508.16, 72,790.14 and 20,426 is: 30,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,508.16 : 72,790.14 = 20,426 : x
  2. Step 2: Convert to fraction form
    48,508.16/72,790.14 = 20,426/x
  3. Step 3: Cross multiply
    48,508.16x = 72,790.14 × 20,426
  4. Step 4: Simplify right side
    48,508.16x = 1,486,811,399.64
  5. Step 5: Solve for x
    x = 1,486,811,399.64/48,508.16
  6. Step 6: Final answer
    x = 30,650.75

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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.