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Finding the Fourth Proportional to 54,047.80, 74,564.52 and 36,114.40

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Solution

The fourth proportional to 54,047.80, 74,564.52 and 36,114.40 is: 49,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,047.80 : 74,564.52 = 36,114.40 : x
  2. Step 2: Convert to fraction form
    54,047.80/74,564.52 = 36,114.40/x
  3. Step 3: Cross multiply
    54,047.80x = 74,564.52 × 36,114.40
  4. Step 4: Simplify right side
    54,047.80x = 2,692,852,858.86
  5. Step 5: Solve for x
    x = 2,692,852,858.86/54,047.80
  6. Step 6: Final answer
    x = 49,823.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.