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Finding the Fourth Proportional to 53,101.96, 73,280.12 and 29,228.12

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Solution

The fourth proportional to 53,101.96, 73,280.12 and 29,228.12 is: 40,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,101.96 : 73,280.12 = 29,228.12 : x
  2. Step 2: Convert to fraction form
    53,101.96/73,280.12 = 29,228.12/x
  3. Step 3: Cross multiply
    53,101.96x = 73,280.12 × 29,228.12
  4. Step 4: Simplify right side
    53,101.96x = 2,141,840,140.97
  5. Step 5: Solve for x
    x = 2,141,840,140.97/53,101.96
  6. Step 6: Final answer
    x = 40,334.48

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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.