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Finding the Fourth Proportional to 32,922.60, 49,416.30 and 16,301.40

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Solution

The fourth proportional to 32,922.60, 49,416.30 and 16,301.40 is: 24,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922.60 : 49,416.30 = 16,301.40 : x
  2. Step 2: Convert to fraction form
    32,922.60/49,416.30 = 16,301.40/x
  3. Step 3: Cross multiply
    32,922.60x = 49,416.30 × 16,301.40
  4. Step 4: Simplify right side
    32,922.60x = 805,554,872.82
  5. Step 5: Solve for x
    x = 805,554,872.82/32,922.60
  6. Step 6: Final answer
    x = 24,468.14

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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.