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Finding the Fourth Proportional to 58,416, 80,614.08 and 31,920

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Solution

The fourth proportional to 58,416, 80,614.08 and 31,920 is: 44,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,416 : 80,614.08 = 31,920 : x
  2. Step 2: Convert to fraction form
    58,416/80,614.08 = 31,920/x
  3. Step 3: Cross multiply
    58,416x = 80,614.08 × 31,920
  4. Step 4: Simplify right side
    58,416x = 2,573,201,433.60
  5. Step 5: Solve for x
    x = 2,573,201,433.60/58,416
  6. Step 6: Final answer
    x = 44,049.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.