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Finding the Fourth Proportional to 32,948.64, 49,416.48 and 8,932.50

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Solution

The fourth proportional to 32,948.64, 49,416.48 and 8,932.50 is: 13,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948.64 : 49,416.48 = 8,932.50 : x
  2. Step 2: Convert to fraction form
    32,948.64/49,416.48 = 8,932.50/x
  3. Step 3: Cross multiply
    32,948.64x = 49,416.48 × 8,932.50
  4. Step 4: Simplify right side
    32,948.64x = 441,412,707.60
  5. Step 5: Solve for x
    x = 441,412,707.60/32,948.64
  6. Step 6: Final answer
    x = 13,396.99

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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.