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Finding the Fourth Proportional to 37,606.17, 56,412.09 and 12,646.29

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Solution

The fourth proportional to 37,606.17, 56,412.09 and 12,646.29 is: 18,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,606.17 : 56,412.09 = 12,646.29 : x
  2. Step 2: Convert to fraction form
    37,606.17/56,412.09 = 12,646.29/x
  3. Step 3: Cross multiply
    37,606.17x = 56,412.09 × 12,646.29
  4. Step 4: Simplify right side
    37,606.17x = 713,403,649.65
  5. Step 5: Solve for x
    x = 713,403,649.65/37,606.17
  6. Step 6: Final answer
    x = 18,970.39

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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.