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Finding the Fourth Proportional to 54,509.40, 81,795.15 and 21,225.15

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Solution

The fourth proportional to 54,509.40, 81,795.15 and 21,225.15 is: 31,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509.40 : 81,795.15 = 21,225.15 : x
  2. Step 2: Convert to fraction form
    54,509.40/81,795.15 = 21,225.15/x
  3. Step 3: Cross multiply
    54,509.40x = 81,795.15 × 21,225.15
  4. Step 4: Simplify right side
    54,509.40x = 1,736,114,328.02
  5. Step 5: Solve for x
    x = 1,736,114,328.02/54,509.40
  6. Step 6: Final answer
    x = 31,849.82

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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.