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Finding the Fourth Proportional to 41,200, 61,763.35 and 14,898.90

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Solution

The fourth proportional to 41,200, 61,763.35 and 14,898.90 is: 22,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,200 : 61,763.35 = 14,898.90 : x
  2. Step 2: Convert to fraction form
    41,200/61,763.35 = 14,898.90/x
  3. Step 3: Cross multiply
    41,200x = 61,763.35 × 14,898.90
  4. Step 4: Simplify right side
    41,200x = 920,205,592.00
  5. Step 5: Solve for x
    x = 920,205,592.00/41,200
  6. Step 6: Final answer
    x = 22,335.09

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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.