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Finding the Fourth Proportional to 35,578, 49,107.88 and 23,487.31

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Solution

The fourth proportional to 35,578, 49,107.88 and 23,487.31 is: 32,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578 : 49,107.88 = 23,487.31 : x
  2. Step 2: Convert to fraction form
    35,578/49,107.88 = 23,487.31/x
  3. Step 3: Cross multiply
    35,578x = 49,107.88 × 23,487.31
  4. Step 4: Simplify right side
    35,578x = 1,153,412,001.00
  5. Step 5: Solve for x
    x = 1,153,412,001.00/35,578
  6. Step 6: Final answer
    x = 32,419.25

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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.