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Finding the Fourth Proportional to 37,822.51, 52,194.63 and 20,826.40

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Solution

The fourth proportional to 37,822.51, 52,194.63 and 20,826.40 is: 28,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,822.51 : 52,194.63 = 20,826.40 : x
  2. Step 2: Convert to fraction form
    37,822.51/52,194.63 = 20,826.40/x
  3. Step 3: Cross multiply
    37,822.51x = 52,194.63 × 20,826.40
  4. Step 4: Simplify right side
    37,822.51x = 1,087,025,981.26
  5. Step 5: Solve for x
    x = 1,087,025,981.26/37,822.51
  6. Step 6: Final answer
    x = 28,740.19

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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.