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Finding the Fourth Proportional to 37,117, 55,674.42 and 13,742.92

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Solution

The fourth proportional to 37,117, 55,674.42 and 13,742.92 is: 20,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,117 : 55,674.42 = 13,742.92 : x
  2. Step 2: Convert to fraction form
    37,117/55,674.42 = 13,742.92/x
  3. Step 3: Cross multiply
    37,117x = 55,674.42 × 13,742.92
  4. Step 4: Simplify right side
    37,117x = 765,129,100.11
  5. Step 5: Solve for x
    x = 765,129,100.11/37,117
  6. Step 6: Final answer
    x = 20,613.98

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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.