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Finding the Fourth Proportional to 37,694.50, 56,567.67 and 13,070.50

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Solution

The fourth proportional to 37,694.50, 56,567.67 and 13,070.50 is: 19,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,694.50 : 56,567.67 = 13,070.50 : x
  2. Step 2: Convert to fraction form
    37,694.50/56,567.67 = 13,070.50/x
  3. Step 3: Cross multiply
    37,694.50x = 56,567.67 × 13,070.50
  4. Step 4: Simplify right side
    37,694.50x = 739,367,730.74
  5. Step 5: Solve for x
    x = 739,367,730.74/37,694.50
  6. Step 6: Final answer
    x = 19,614.74

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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.