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Finding the Fourth Proportional to 51,958.55, 77,946.02 and 16,890

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Solution

The fourth proportional to 51,958.55, 77,946.02 and 16,890 is: 25,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,958.55 : 77,946.02 = 16,890 : x
  2. Step 2: Convert to fraction form
    51,958.55/77,946.02 = 16,890/x
  3. Step 3: Cross multiply
    51,958.55x = 77,946.02 × 16,890
  4. Step 4: Simplify right side
    51,958.55x = 1,316,508,193.35
  5. Step 5: Solve for x
    x = 1,316,508,193.35/51,958.55
  6. Step 6: Final answer
    x = 25,337.66

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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.