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Finding the Fourth Proportional to 37,184.57, 51,314.70 and 20,417.57

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Solution

The fourth proportional to 37,184.57, 51,314.70 and 20,417.57 is: 28,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184.57 : 51,314.70 = 20,417.57 : x
  2. Step 2: Convert to fraction form
    37,184.57/51,314.70 = 20,417.57/x
  3. Step 3: Cross multiply
    37,184.57x = 51,314.70 × 20,417.57
  4. Step 4: Simplify right side
    37,184.57x = 1,047,721,120.62
  5. Step 5: Solve for x
    x = 1,047,721,120.62/37,184.57
  6. Step 6: Final answer
    x = 28,176.24

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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.