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Finding the Fourth Proportional to 37,465.32, 56,197.96 and 11,188.50

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Solution

The fourth proportional to 37,465.32, 56,197.96 and 11,188.50 is: 16,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,465.32 : 56,197.96 = 11,188.50 : x
  2. Step 2: Convert to fraction form
    37,465.32/56,197.96 = 11,188.50/x
  3. Step 3: Cross multiply
    37,465.32x = 56,197.96 × 11,188.50
  4. Step 4: Simplify right side
    37,465.32x = 628,770,875.46
  5. Step 5: Solve for x
    x = 628,770,875.46/37,465.32
  6. Step 6: Final answer
    x = 16,782.74

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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.