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Finding the Fourth Proportional to 81,411.43, 121,958.16 and 56,106.46

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Solution

The fourth proportional to 81,411.43, 121,958.16 and 56,106.46 is: 84,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.43 : 121,958.16 = 56,106.46 : x
  2. Step 2: Convert to fraction form
    81,411.43/121,958.16 = 56,106.46/x
  3. Step 3: Cross multiply
    81,411.43x = 121,958.16 × 56,106.46
  4. Step 4: Simplify right side
    81,411.43x = 6,842,640,625.71
  5. Step 5: Solve for x
    x = 6,842,640,625.71/81,411.43
  6. Step 6: Final answer
    x = 84,050.12

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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.