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Finding the Fourth Proportional to 73,055.34, 100,884.54 and 53,766

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Solution

The fourth proportional to 73,055.34, 100,884.54 and 53,766 is: 74,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,055.34 : 100,884.54 = 53,766 : x
  2. Step 2: Convert to fraction form
    73,055.34/100,884.54 = 53,766/x
  3. Step 3: Cross multiply
    73,055.34x = 100,884.54 × 53,766
  4. Step 4: Simplify right side
    73,055.34x = 5,424,158,177.64
  5. Step 5: Solve for x
    x = 5,424,158,177.64/73,055.34
  6. Step 6: Final answer
    x = 74,247.25

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