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Finding the Fourth Proportional to 36,898.50, 55,347.75 and 12,274.50

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Solution

The fourth proportional to 36,898.50, 55,347.75 and 12,274.50 is: 18,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,898.50 : 55,347.75 = 12,274.50 : x
  2. Step 2: Convert to fraction form
    36,898.50/55,347.75 = 12,274.50/x
  3. Step 3: Cross multiply
    36,898.50x = 55,347.75 × 12,274.50
  4. Step 4: Simplify right side
    36,898.50x = 679,365,957.38
  5. Step 5: Solve for x
    x = 679,365,957.38/36,898.50
  6. Step 6: Final answer
    x = 18,411.75

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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.