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Finding the Fourth Proportional to 37,645.60, 56,446.80 and 11,346.40

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Solution

The fourth proportional to 37,645.60, 56,446.80 and 11,346.40 is: 17,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,645.60 : 56,446.80 = 11,346.40 : x
  2. Step 2: Convert to fraction form
    37,645.60/56,446.80 = 11,346.40/x
  3. Step 3: Cross multiply
    37,645.60x = 56,446.80 × 11,346.40
  4. Step 4: Simplify right side
    37,645.60x = 640,467,971.52
  5. Step 5: Solve for x
    x = 640,467,971.52/37,645.60
  6. Step 6: Final answer
    x = 17,013.09

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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.