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Finding the Fourth Proportional to 52,444, 78,684.72 and 24,377.44

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Solution

The fourth proportional to 52,444, 78,684.72 and 24,377.44 is: 36,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,444 : 78,684.72 = 24,377.44 : x
  2. Step 2: Convert to fraction form
    52,444/78,684.72 = 24,377.44/x
  3. Step 3: Cross multiply
    52,444x = 78,684.72 × 24,377.44
  4. Step 4: Simplify right side
    52,444x = 1,918,132,040.72
  5. Step 5: Solve for x
    x = 1,918,132,040.72/52,444
  6. Step 6: Final answer
    x = 36,574.86

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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.