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Finding the Fourth Proportional to 37,478.40, 56,189.92 and 22,684.07

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Solution

The fourth proportional to 37,478.40, 56,189.92 and 22,684.07 is: 34,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,478.40 : 56,189.92 = 22,684.07 : x
  2. Step 2: Convert to fraction form
    37,478.40/56,189.92 = 22,684.07/x
  3. Step 3: Cross multiply
    37,478.40x = 56,189.92 × 22,684.07
  4. Step 4: Simplify right side
    37,478.40x = 1,274,616,078.57
  5. Step 5: Solve for x
    x = 1,274,616,078.57/37,478.40
  6. Step 6: Final answer
    x = 34,009.35

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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.