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Finding the Fourth Proportional to 52,036.50, 78,072.27 and 16,503.60

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Solution

The fourth proportional to 52,036.50, 78,072.27 and 16,503.60 is: 24,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,036.50 : 78,072.27 = 16,503.60 : x
  2. Step 2: Convert to fraction form
    52,036.50/78,072.27 = 16,503.60/x
  3. Step 3: Cross multiply
    52,036.50x = 78,072.27 × 16,503.60
  4. Step 4: Simplify right side
    52,036.50x = 1,288,473,515.17
  5. Step 5: Solve for x
    x = 1,288,473,515.17/52,036.50
  6. Step 6: Final answer
    x = 24,760.96

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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.