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Finding the Fourth Proportional to 54,989.72, 82,409.98 and 23,360.12

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Solution

The fourth proportional to 54,989.72, 82,409.98 and 23,360.12 is: 35,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,989.72 : 82,409.98 = 23,360.12 : x
  2. Step 2: Convert to fraction form
    54,989.72/82,409.98 = 23,360.12/x
  3. Step 3: Cross multiply
    54,989.72x = 82,409.98 × 23,360.12
  4. Step 4: Simplify right side
    54,989.72x = 1,925,107,054.04
  5. Step 5: Solve for x
    x = 1,925,107,054.04/54,989.72
  6. Step 6: Final answer
    x = 35,008.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.