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Finding the Fourth Proportional to 37,784.56, 56,680.02 and 11,489.50

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Solution

The fourth proportional to 37,784.56, 56,680.02 and 11,489.50 is: 17,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,784.56 : 56,680.02 = 11,489.50 : x
  2. Step 2: Convert to fraction form
    37,784.56/56,680.02 = 11,489.50/x
  3. Step 3: Cross multiply
    37,784.56x = 56,680.02 × 11,489.50
  4. Step 4: Simplify right side
    37,784.56x = 651,225,089.79
  5. Step 5: Solve for x
    x = 651,225,089.79/37,784.56
  6. Step 6: Final answer
    x = 17,235.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.