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Finding the Fourth Proportional to 37,338, 56,011.32 and 12,381.36

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Solution

The fourth proportional to 37,338, 56,011.32 and 12,381.36 is: 18,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,338 : 56,011.32 = 12,381.36 : x
  2. Step 2: Convert to fraction form
    37,338/56,011.32 = 12,381.36/x
  3. Step 3: Cross multiply
    37,338x = 56,011.32 × 12,381.36
  4. Step 4: Simplify right side
    37,338x = 693,496,317.00
  5. Step 5: Solve for x
    x = 693,496,317.00/37,338
  6. Step 6: Final answer
    x = 18,573.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.