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Finding the Fourth Proportional to 32,948.25, 49,416.81 and 9,250.36

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Solution

The fourth proportional to 32,948.25, 49,416.81 and 9,250.36 is: 13,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948.25 : 49,416.81 = 9,250.36 : x
  2. Step 2: Convert to fraction form
    32,948.25/49,416.81 = 9,250.36/x
  3. Step 3: Cross multiply
    32,948.25x = 49,416.81 × 9,250.36
  4. Step 4: Simplify right side
    32,948.25x = 457,123,282.55
  5. Step 5: Solve for x
    x = 457,123,282.55/32,948.25
  6. Step 6: Final answer
    x = 13,873.98

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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.