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Finding the Fourth Proportional to 37,361, 56,041.82 and 9,657.32

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Solution

The fourth proportional to 37,361, 56,041.82 and 9,657.32 is: 14,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,361 : 56,041.82 = 9,657.32 : x
  2. Step 2: Convert to fraction form
    37,361/56,041.82 = 9,657.32/x
  3. Step 3: Cross multiply
    37,361x = 56,041.82 × 9,657.32
  4. Step 4: Simplify right side
    37,361x = 541,213,789.12
  5. Step 5: Solve for x
    x = 541,213,789.12/37,361
  6. Step 6: Final answer
    x = 14,486.06

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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.