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Finding the Fourth Proportional to 32,713.60, 49,070.40 and 16,084.30

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Solution

The fourth proportional to 32,713.60, 49,070.40 and 16,084.30 is: 24,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713.60 : 49,070.40 = 16,084.30 : x
  2. Step 2: Convert to fraction form
    32,713.60/49,070.40 = 16,084.30/x
  3. Step 3: Cross multiply
    32,713.60x = 49,070.40 × 16,084.30
  4. Step 4: Simplify right side
    32,713.60x = 789,263,034.72
  5. Step 5: Solve for x
    x = 789,263,034.72/32,713.60
  6. Step 6: Final answer
    x = 24,126.45

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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.