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Finding the Fourth Proportional to 81,053.42, 121,496.99 and 31,120.07

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Solution

The fourth proportional to 81,053.42, 121,496.99 and 31,120.07 is: 46,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,053.42 : 121,496.99 = 31,120.07 : x
  2. Step 2: Convert to fraction form
    81,053.42/121,496.99 = 31,120.07/x
  3. Step 3: Cross multiply
    81,053.42x = 121,496.99 × 31,120.07
  4. Step 4: Simplify right side
    81,053.42x = 3,780,994,070.50
  5. Step 5: Solve for x
    x = 3,780,994,070.50/81,053.42
  6. Step 6: Final answer
    x = 46,648.18

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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.