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Finding the Fourth Proportional to 37,875.70, 56,813.31 and 11,580.34

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Solution

The fourth proportional to 37,875.70, 56,813.31 and 11,580.34 is: 17,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,875.70 : 56,813.31 = 11,580.34 : x
  2. Step 2: Convert to fraction form
    37,875.70/56,813.31 = 11,580.34/x
  3. Step 3: Cross multiply
    37,875.70x = 56,813.31 × 11,580.34
  4. Step 4: Simplify right side
    37,875.70x = 657,917,446.33
  5. Step 5: Solve for x
    x = 657,917,446.33/37,875.70
  6. Step 6: Final answer
    x = 17,370.44

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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.