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Finding the Fourth Proportional to 37,648.36, 56,461.02 and 14,278.12

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Solution

The fourth proportional to 37,648.36, 56,461.02 and 14,278.12 is: 21,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.36 : 56,461.02 = 14,278.12 : x
  2. Step 2: Convert to fraction form
    37,648.36/56,461.02 = 14,278.12/x
  3. Step 3: Cross multiply
    37,648.36x = 56,461.02 × 14,278.12
  4. Step 4: Simplify right side
    37,648.36x = 806,157,218.88
  5. Step 5: Solve for x
    x = 806,157,218.88/37,648.36
  6. Step 6: Final answer
    x = 21,412.81

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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.