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Finding the Fourth Proportional to 37,891.80, 56,838.78 and 14,520.06

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Solution

The fourth proportional to 37,891.80, 56,838.78 and 14,520.06 is: 21,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,891.80 : 56,838.78 = 14,520.06 : x
  2. Step 2: Convert to fraction form
    37,891.80/56,838.78 = 14,520.06/x
  3. Step 3: Cross multiply
    37,891.80x = 56,838.78 × 14,520.06
  4. Step 4: Simplify right side
    37,891.80x = 825,302,495.93
  5. Step 5: Solve for x
    x = 825,302,495.93/37,891.80
  6. Step 6: Final answer
    x = 21,780.50

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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.