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Finding the Fourth Proportional to 48,114.53, 72,122.58 and 24,378.10

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Solution

The fourth proportional to 48,114.53, 72,122.58 and 24,378.10 is: 36,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,114.53 : 72,122.58 = 24,378.10 : x
  2. Step 2: Convert to fraction form
    48,114.53/72,122.58 = 24,378.10/x
  3. Step 3: Cross multiply
    48,114.53x = 72,122.58 × 24,378.10
  4. Step 4: Simplify right side
    48,114.53x = 1,758,211,467.50
  5. Step 5: Solve for x
    x = 1,758,211,467.50/48,114.53
  6. Step 6: Final answer
    x = 36,542.21

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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.