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Finding the Fourth Proportional to 50,666.50, 76,000.02 and 13,730.50

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Solution

The fourth proportional to 50,666.50, 76,000.02 and 13,730.50 is: 20,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,666.50 : 76,000.02 = 13,730.50 : x
  2. Step 2: Convert to fraction form
    50,666.50/76,000.02 = 13,730.50/x
  3. Step 3: Cross multiply
    50,666.50x = 76,000.02 × 13,730.50
  4. Step 4: Simplify right side
    50,666.50x = 1,043,518,274.61
  5. Step 5: Solve for x
    x = 1,043,518,274.61/50,666.50
  6. Step 6: Final answer
    x = 20,595.82

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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.