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Finding the Fourth Proportional to 48,480.70, 72,722.76 and 13,423

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Solution

The fourth proportional to 48,480.70, 72,722.76 and 13,423 is: 20,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,480.70 : 72,722.76 = 13,423 : x
  2. Step 2: Convert to fraction form
    48,480.70/72,722.76 = 13,423/x
  3. Step 3: Cross multiply
    48,480.70x = 72,722.76 × 13,423
  4. Step 4: Simplify right side
    48,480.70x = 976,157,607.48
  5. Step 5: Solve for x
    x = 976,157,607.48/48,480.70
  6. Step 6: Final answer
    x = 20,134.97

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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.