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Finding the Fourth Proportional to 101,004.52, 151,506.80 and 30,883.84

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Solution

The fourth proportional to 101,004.52, 151,506.80 and 30,883.84 is: 46,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,004.52 : 151,506.80 = 30,883.84 : x
  2. Step 2: Convert to fraction form
    101,004.52/151,506.80 = 30,883.84/x
  3. Step 3: Cross multiply
    101,004.52x = 151,506.80 × 30,883.84
  4. Step 4: Simplify right side
    101,004.52x = 4,679,111,770.11
  5. Step 5: Solve for x
    x = 4,679,111,770.11/101,004.52
  6. Step 6: Final answer
    x = 46,325.77

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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.