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Finding the Fourth Proportional to 37,403.76, 56,094.12 and 12,774

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Solution

The fourth proportional to 37,403.76, 56,094.12 and 12,774 is: 19,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,403.76 : 56,094.12 = 12,774 : x
  2. Step 2: Convert to fraction form
    37,403.76/56,094.12 = 12,774/x
  3. Step 3: Cross multiply
    37,403.76x = 56,094.12 × 12,774
  4. Step 4: Simplify right side
    37,403.76x = 716,546,288.88
  5. Step 5: Solve for x
    x = 716,546,288.88/37,403.76
  6. Step 6: Final answer
    x = 19,157.07

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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.