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Finding the Fourth Proportional to 54,529.40, 81,794.10 and 41,407.40

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Solution

The fourth proportional to 54,529.40, 81,794.10 and 41,407.40 is: 62,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,529.40 : 81,794.10 = 41,407.40 : x
  2. Step 2: Convert to fraction form
    54,529.40/81,794.10 = 41,407.40/x
  3. Step 3: Cross multiply
    54,529.40x = 81,794.10 × 41,407.40
  4. Step 4: Simplify right side
    54,529.40x = 3,386,881,016.34
  5. Step 5: Solve for x
    x = 3,386,881,016.34/54,529.40
  6. Step 6: Final answer
    x = 62,111.10

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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.