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Finding the Fourth Proportional to 32,349.16, 48,507.54 and 10,162.25

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Solution

The fourth proportional to 32,349.16, 48,507.54 and 10,162.25 is: 15,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,349.16 : 48,507.54 = 10,162.25 : x
  2. Step 2: Convert to fraction form
    32,349.16/48,507.54 = 10,162.25/x
  3. Step 3: Cross multiply
    32,349.16x = 48,507.54 × 10,162.25
  4. Step 4: Simplify right side
    32,349.16x = 492,945,748.37
  5. Step 5: Solve for x
    x = 492,945,748.37/32,349.16
  6. Step 6: Final answer
    x = 15,238.29

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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.