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Finding the Fourth Proportional to 52,243.40, 78,365.10 and 32,511.80

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Solution

The fourth proportional to 52,243.40, 78,365.10 and 32,511.80 is: 48,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,243.40 : 78,365.10 = 32,511.80 : x
  2. Step 2: Convert to fraction form
    52,243.40/78,365.10 = 32,511.80/x
  3. Step 3: Cross multiply
    52,243.40x = 78,365.10 × 32,511.80
  4. Step 4: Simplify right side
    52,243.40x = 2,547,790,458.18
  5. Step 5: Solve for x
    x = 2,547,790,458.18/52,243.40
  6. Step 6: Final answer
    x = 48,767.70

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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.