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Finding the Fourth Proportional to 29,538.64, 44,308.14 and 7,352.02

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Solution

The fourth proportional to 29,538.64, 44,308.14 and 7,352.02 is: 11,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.64 : 44,308.14 = 7,352.02 : x
  2. Step 2: Convert to fraction form
    29,538.64/44,308.14 = 7,352.02/x
  3. Step 3: Cross multiply
    29,538.64x = 44,308.14 × 7,352.02
  4. Step 4: Simplify right side
    29,538.64x = 325,754,331.44
  5. Step 5: Solve for x
    x = 325,754,331.44/29,538.64
  6. Step 6: Final answer
    x = 11,028.07

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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.