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Finding the Fourth Proportional to 37,770.50, 56,656.95 and 11,475.47

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Solution

The fourth proportional to 37,770.50, 56,656.95 and 11,475.47 is: 17,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,770.50 : 56,656.95 = 11,475.47 : x
  2. Step 2: Convert to fraction form
    37,770.50/56,656.95 = 11,475.47/x
  3. Step 3: Cross multiply
    37,770.50x = 56,656.95 × 11,475.47
  4. Step 4: Simplify right side
    37,770.50x = 650,165,130.02
  5. Step 5: Solve for x
    x = 650,165,130.02/37,770.50
  6. Step 6: Final answer
    x = 17,213.57

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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.