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Finding the Fourth Proportional to 48,570.48, 72,838.14 and 16,971.72

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Solution

The fourth proportional to 48,570.48, 72,838.14 and 16,971.72 is: 25,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,570.48 : 72,838.14 = 16,971.72 : x
  2. Step 2: Convert to fraction form
    48,570.48/72,838.14 = 16,971.72/x
  3. Step 3: Cross multiply
    48,570.48x = 72,838.14 × 16,971.72
  4. Step 4: Simplify right side
    48,570.48x = 1,236,188,517.40
  5. Step 5: Solve for x
    x = 1,236,188,517.40/48,570.48
  6. Step 6: Final answer
    x = 25,451.44

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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.