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Finding the Fourth Proportional to 64,107.31, 88,468.13 and 35,813

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Solution

The fourth proportional to 64,107.31, 88,468.13 and 35,813 is: 49,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,107.31 : 88,468.13 = 35,813 : x
  2. Step 2: Convert to fraction form
    64,107.31/88,468.13 = 35,813/x
  3. Step 3: Cross multiply
    64,107.31x = 88,468.13 × 35,813
  4. Step 4: Simplify right side
    64,107.31x = 3,168,309,139.69
  5. Step 5: Solve for x
    x = 3,168,309,139.69/64,107.31
  6. Step 6: Final answer
    x = 49,421.96

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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.