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Finding the Fourth Proportional to 37,755.32, 56,615.14 and 11,454.64

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Solution

The fourth proportional to 37,755.32, 56,615.14 and 11,454.64 is: 17,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,755.32 : 56,615.14 = 11,454.64 : x
  2. Step 2: Convert to fraction form
    37,755.32/56,615.14 = 11,454.64/x
  3. Step 3: Cross multiply
    37,755.32x = 56,615.14 × 11,454.64
  4. Step 4: Simplify right side
    37,755.32x = 648,506,047.25
  5. Step 5: Solve for x
    x = 648,506,047.25/37,755.32
  6. Step 6: Final answer
    x = 17,176.55

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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.