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Finding the Fourth Proportional to 37,378.89, 56,056.14 and 12,412.17

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Solution

The fourth proportional to 37,378.89, 56,056.14 and 12,412.17 is: 18,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,378.89 : 56,056.14 = 12,412.17 : x
  2. Step 2: Convert to fraction form
    37,378.89/56,056.14 = 12,412.17/x
  3. Step 3: Cross multiply
    37,378.89x = 56,056.14 × 12,412.17
  4. Step 4: Simplify right side
    37,378.89x = 695,778,339.22
  5. Step 5: Solve for x
    x = 695,778,339.22/37,378.89
  6. Step 6: Final answer
    x = 18,614.21

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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.