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Finding the Fourth Proportional to 81,140, 121,725.36 and 37,364

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Solution

The fourth proportional to 81,140, 121,725.36 and 37,364 is: 56,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,140 : 121,725.36 = 37,364 : x
  2. Step 2: Convert to fraction form
    81,140/121,725.36 = 37,364/x
  3. Step 3: Cross multiply
    81,140x = 121,725.36 × 37,364
  4. Step 4: Simplify right side
    81,140x = 4,548,146,351.04
  5. Step 5: Solve for x
    x = 4,548,146,351.04/81,140
  6. Step 6: Final answer
    x = 56,053.07

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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.