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Finding the Fourth Proportional to 32,375.64, 48,510 and 14,806.74

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Solution

The fourth proportional to 32,375.64, 48,510 and 14,806.74 is: 22,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375.64 : 48,510 = 14,806.74 : x
  2. Step 2: Convert to fraction form
    32,375.64/48,510 = 14,806.74/x
  3. Step 3: Cross multiply
    32,375.64x = 48,510 × 14,806.74
  4. Step 4: Simplify right side
    32,375.64x = 718,274,957.40
  5. Step 5: Solve for x
    x = 718,274,957.40/32,375.64
  6. Step 6: Final answer
    x = 22,185.66

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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.