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Finding the Fourth Proportional to 52,200.25, 78,262.03 and 16,641.11

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Solution

The fourth proportional to 52,200.25, 78,262.03 and 16,641.11 is: 24,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,200.25 : 78,262.03 = 16,641.11 : x
  2. Step 2: Convert to fraction form
    52,200.25/78,262.03 = 16,641.11/x
  3. Step 3: Cross multiply
    52,200.25x = 78,262.03 × 16,641.11
  4. Step 4: Simplify right side
    52,200.25x = 1,302,367,266.51
  5. Step 5: Solve for x
    x = 1,302,367,266.51/52,200.25
  6. Step 6: Final answer
    x = 24,949.45

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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.