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Finding the Fourth Proportional to 36,897.98, 55,312.92 and 14,706

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Solution

The fourth proportional to 36,897.98, 55,312.92 and 14,706 is: 22,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,897.98 : 55,312.92 = 14,706 : x
  2. Step 2: Convert to fraction form
    36,897.98/55,312.92 = 14,706/x
  3. Step 3: Cross multiply
    36,897.98x = 55,312.92 × 14,706
  4. Step 4: Simplify right side
    36,897.98x = 813,431,801.52
  5. Step 5: Solve for x
    x = 813,431,801.52/36,897.98
  6. Step 6: Final answer
    x = 22,045.43

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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.