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Finding the Fourth Proportional to 37,830.98, 56,752.70 and 11,529.56

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Solution

The fourth proportional to 37,830.98, 56,752.70 and 11,529.56 is: 17,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,830.98 : 56,752.70 = 11,529.56 : x
  2. Step 2: Convert to fraction form
    37,830.98/56,752.70 = 11,529.56/x
  3. Step 3: Cross multiply
    37,830.98x = 56,752.70 × 11,529.56
  4. Step 4: Simplify right side
    37,830.98x = 654,333,744.05
  5. Step 5: Solve for x
    x = 654,333,744.05/37,830.98
  6. Step 6: Final answer
    x = 17,296.24

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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.