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Finding the Fourth Proportional to 33,007.34, 49,507.50 and 9,314.30

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Solution

The fourth proportional to 33,007.34, 49,507.50 and 9,314.30 is: 13,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.34 : 49,507.50 = 9,314.30 : x
  2. Step 2: Convert to fraction form
    33,007.34/49,507.50 = 9,314.30/x
  3. Step 3: Cross multiply
    33,007.34x = 49,507.50 × 9,314.30
  4. Step 4: Simplify right side
    33,007.34x = 461,127,707.25
  5. Step 5: Solve for x
    x = 461,127,707.25/33,007.34
  6. Step 6: Final answer
    x = 13,970.46

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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.