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Finding the Fourth Proportional to 37,186.19, 51,316.91 and 20,419.19

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Solution

The fourth proportional to 37,186.19, 51,316.91 and 20,419.19 is: 28,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,186.19 : 51,316.91 = 20,419.19 : x
  2. Step 2: Convert to fraction form
    37,186.19/51,316.91 = 20,419.19/x
  3. Step 3: Cross multiply
    37,186.19x = 51,316.91 × 20,419.19
  4. Step 4: Simplify right side
    37,186.19x = 1,047,849,645.83
  5. Step 5: Solve for x
    x = 1,047,849,645.83/37,186.19
  6. Step 6: Final answer
    x = 28,178.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.