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Finding the Fourth Proportional to 37,774.29, 56,649.31 and 12,468.15

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Solution

The fourth proportional to 37,774.29, 56,649.31 and 12,468.15 is: 18,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,774.29 : 56,649.31 = 12,468.15 : x
  2. Step 2: Convert to fraction form
    37,774.29/56,649.31 = 12,468.15/x
  3. Step 3: Cross multiply
    37,774.29x = 56,649.31 × 12,468.15
  4. Step 4: Simplify right side
    37,774.29x = 706,312,094.48
  5. Step 5: Solve for x
    x = 706,312,094.48/37,774.29
  6. Step 6: Final answer
    x = 18,698.22

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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.