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Finding the Fourth Proportional to 42,733, 64,091.58 and 11,564.20

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Solution

The fourth proportional to 42,733, 64,091.58 and 11,564.20 is: 17,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,733 : 64,091.58 = 11,564.20 : x
  2. Step 2: Convert to fraction form
    42,733/64,091.58 = 11,564.20/x
  3. Step 3: Cross multiply
    42,733x = 64,091.58 × 11,564.20
  4. Step 4: Simplify right side
    42,733x = 741,167,849.44
  5. Step 5: Solve for x
    x = 741,167,849.44/42,733
  6. Step 6: Final answer
    x = 17,344.16

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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.