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Finding the Fourth Proportional to 37,649.95, 56,463.02 and 12,684.18

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Solution

The fourth proportional to 37,649.95, 56,463.02 and 12,684.18 is: 19,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.95 : 56,463.02 = 12,684.18 : x
  2. Step 2: Convert to fraction form
    37,649.95/56,463.02 = 12,684.18/x
  3. Step 3: Cross multiply
    37,649.95x = 56,463.02 × 12,684.18
  4. Step 4: Simplify right side
    37,649.95x = 716,187,058.65
  5. Step 5: Solve for x
    x = 716,187,058.65/37,649.95
  6. Step 6: Final answer
    x = 19,022.26

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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.