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Finding the Fourth Proportional to 54,237.60, 81,348.90 and 16,823.40

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Solution

The fourth proportional to 54,237.60, 81,348.90 and 16,823.40 is: 25,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,237.60 : 81,348.90 = 16,823.40 : x
  2. Step 2: Convert to fraction form
    54,237.60/81,348.90 = 16,823.40/x
  3. Step 3: Cross multiply
    54,237.60x = 81,348.90 × 16,823.40
  4. Step 4: Simplify right side
    54,237.60x = 1,368,565,084.26
  5. Step 5: Solve for x
    x = 1,368,565,084.26/54,237.60
  6. Step 6: Final answer
    x = 25,232.77

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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.